Birla Institute of Technology, Mesra
Faculty Image

Dr. Randhir Singh

Joined Institute on : 2-Mar-2015

  • Assistant Professor
  • Mathematics
  • Ph.D (IITKGP)
Contact Address

D1/37, B.I.T. MESRA, Ranchi

Pathankot, Punjab

  • Phone Office - 0
  • Phone Residence - 0
  • Email - randhirsingh@bitmesra.ac.in
Work Experience

Teaching : 12 Years

Research : 17 Years

Individual: 17 Years
Professional Background

Employment History 

  1. Assistant Professor (L-12), BIT Mesra (Since September, 2024)
  2. Assistant Professor (L-11), BIT Mesra (March, 2019 to September 2024)
  3. Assistant Professor (L-10), BIT Mesra (March 2015 to March 2019)
  4. Assistant Professor,  NIST Berhampur (August 2014--December 2014) 

Institute Level Activity @ BIT

  1. Assistant Warden of Hostel-13 (November 2016-March 2023)]
  2. Active involvement in Bitotsav as security committee (Since 2017)
  3. Active involvement in convocation as seating arrangement and others (Since 2017)
  4. Active involvement in anti-ragging committee (November 2016-March 2023)]
  5. Active involvement in the Annual Athletic Meet (Since 2017)

Departmental Activity @ BIT

  1. Timetable and Course allotment [Co-Coordinator from June 2017- June 2019]
  2. Microsoft Teams-related work: [Coordinator since June 2020]
  3. Departmental Website: [Coordinator since June 2016]
  4. Departmental-level Training and placement: [Coordinator since June 2023-December 2024]
  5. PhD  Coordinator [since January 2024]
  6. Involvement in other departmental committees
Research Areas

Ordinary differential equations (ODEs) model many boundary value problems encountered in physical sciences and applied mathematics, subject to two-point boundary conditions. While solving linear boundary value problems can often be accomplished using classical methods, the exact solution of nonlinear boundary value problems (BVPs) is, in general, much more challenging. The complexity increases significantly when the BVPs are also singular in nature, i.e., when the differential equation or the boundary conditions exhibit singular behavior at one or more points within the domain. These singularities make the problem mathematically intricate and numerically unstable, requiring specialized techniques for both analysis and computation.

My primary research interests lie in the numerical study of nonlinear singular differential equations, which frequently arise in diverse scientific fields, such as fluid dynamics, chemical kinetics, astrophysics, and population biology. These problems are particularly compelling because their solutions often exhibit non-trivial behavior near the singular points, necessitating the development of robust and accurate numerical schemes.

Developing and analyzing numerical and analytical methods for such nonlinear singular BVPs is my particular focus. My work includes exploring both local and nonlocal boundary conditions, as these arise in various models of physical phenomena, such as heat conduction with memory effects or diffusion with spatial constraints.

Key areas of my research include:

  • Nonlinear Local and Nonlocal Boundary Value Problems: Studying how solutions to ODEs behave and how to find them using both traditional and integral-type boundary conditions.
  • Numerical Methods for Singular Boundary Value Problems: Designing and implementing efficient numerical schemes that can handle singularities at boundary or interior points, ensuring stability and convergence.
  • Wavelet Methods: Using wavelet techniques to solve differential equations numerically, taking advantage of their ability to work at different levels of detail and focus on specific areas.
  • Compact Finite Difference Methods: Developing high-order compact schemes that offer improved accuracy while preserving computational efficiency, especially in stiff or singular problems.
  • Population Balance Models: Using and improving numerical methods for population balance equations, which are equations that describe how particles behave in systems like aerosols, crystallizers, and bioreactors.

Through this research, I aim to contribute to both the theoretical understanding and the practical computation of complex differential systems, particularly those characterized by nonlinearity and singularity.

 

PhD supervision record (submitted or awarded):

  1. Dr. Julee Shahni: Numerical Methods for Singular Boundary Value problems: (2018-2023): December (2023) Awarded
  2. Nirupam Sahoo: Numerical Solutions of singular differential equations with local and nonlocal boundary conditions:  (2021-2025):  August (2025) Awarded
  3. Nikita Saha: Delay-Pantograph Singular Differential equation and nonlocal singular boundary value problems:  (Joined 2021): Submitted (2025) 
  4. Sanjeet Kumar Agrawal: Approximation solutions of some Stefan-type problems using intrinsic and extrinsic characteristics: (Joined 2021): Ongoing
  5. Anupam: Wavelet Methods for Singular Fractional Differential Equations (Joined 2024): Ongoing [External]
Award and Honours

 

  • Featured in Stanford University/Elsevier’s list of the “WORLD’S TOP 2% SCIENTISTS” in ‘Worldwide Rankings (WR)—Overall’ for the years 2021,  2022, and 2024.
  • Qualified Gate-2010, AIR-64 
  • Qualified Gate-2009, AIR-62 
  • Qualified CSIR-UGC National Eligibility Test (JRF-June-2009) (Mathematics)
  • Qualified CSIR-UGC National Eligibility Test (JRF-DEC-2008) (Mathematics)
  • 6th position in the Ph.D. entrance exam at IIT Bombay  in 2009
  • 2nd position in the Ph.D. entrance exam at IIT Kanpur in 2009
  • 1st Position in the Ph.D. entrance exam at IIT Kharagpur 2009
Publications

 [A] Journal Publications (SCI= 63 and Scopus= 09;              Single Author=07)

  1. S. Keshav, A. Das, S. Singh, Rangdhir Sinh, M. Singh: New generalised semi-analytical approach for the multidimensional nonlinear collisional fragmentation equations. International Journal for Numerical Methods in Fluids (2026). [SCI, IF: 1.7]. DOI: https://doi.org/10.1002/fld.70078

  2. Nikita Saha, Randhir Singh: Numerical simulation and error analysis of nonlocal third-order singular differential equations: modified Taylor-collocation approach, Computational and Applied Mathematics, 45, Article 128 (2026). [SCI, IF: 2.5]. DOI: https://doi.org/10.1007/s40314-025-03520-4

  3. Nirupam Sahoo, Randhir Singh: Discretization based algorithms for capturing accurate solutions of simultaneous Lane–Emden–Fowler type equations. Mathematical Methods in the Applied Sciences, 49(4), 2774–2794 (2026). [SCI, IF: 1.8]. DOI: https://doi.org/10.1002/mma.70281

  4. Nikita Saha, Randhir Singh: Taylor-wavelet method for third-order coupled singular Emden–Fowler equations with local and nonlocal BCs. Numerical Algorithms (2025). [SCI, IF: 1.7]. DOI: https://doi.org/10.1007/s11075-025-02255-x

  5. Nirupam Sahoo, Randhir Singh: Compact finite difference schemes and error estimation for third-order Emden–Fowler equations. Numerical Algorithms, 101, 847–882 (2026). [SCI, IF: 1.7]. DOI: https://doi.org/10.1007/s11075-025-02025-9

  6. Randhir Singh, Nirupam Sahoo, Prabal Datta, Vandana Guleria: Investigation of real-world second-order singular differential equations by optimal homotopy analysis technique. Journal of Mathematical Chemistry, 63, 962–981 (2025). [SCI, IF: 1.713]. DOI: https://doi.org/10.1007/s10910-025-01703-2

  7. Nikita Saha, Randhir Singh, J. Shahni, Vandana Guleria: An efficient Legendre-wavelet collocation technique for solving Emden–Fowler type equations. Numerical Analysis and Applications, 18, 249–267 (2025). [SCI, IF: 0.4]. DOI: https://doi.org/10.1134/S1995423925030061

  8. Nirupam Sahoo, Randhir Singh: An efficient 6th-order compact difference scheme with error estimation for nonlocal Lane–Emden equation. Journal of Computational Science, 85, 102529 (2025). [SCI, IF: 3.817]. DOI: https://doi.org/10.1016/j.jocs.2025.102529

  9. Nikita Saha, Randhir Singh: Numerical algorithm for solving third-order Emden–Fowler type pantograph differential equations: Taylor operational matrix method. Soft Computing, 29, 2563–2579 (2025). [SCI, IF: 2.5]. DOI: https://doi.org/10.1007/s00500-025-10599-8

  10. Nirupam Sahoo, Randhir Singh: A stable higher-order numerical method for solving a system of third-order singular Emden–Fowler type equations. Journal of Applied Mathematics and Computing, 71, 387–414 (2025). [SCI, IF: 2.7]. DOI: https://doi.org/10.1007/s12190-024-02233-x

  11. N. Yadav, Z. Ansari, Randhir Singh, A. Das, S. Singh, S. Heinrich, M. Singh: Explicit and approximate solutions for a classical hyperbolic fragmentation equation using a hybrid projected differential transform method. Physics of Fluids, 36(9) (2024). [SCI, IF: 4.6]. DOI: https://doi.org/10.1063/5.0225671

  12. Nirupam Sahoo, Randhir Singh, H. Ramos: An innovative fourth-order numerical scheme with error analysis for Lane–Emden–Fowler type systems. Numerical Algorithms, 99, 411–439 (2025). [SCI, IF: 2.2]. DOI: https://doi.org/10.1007/s11075-024-01882-0

  13. Randhir Singh, Vandana Guleria, H. Ramos, M. Singh: Highly efficient optimal decomposition approach and its mathematical analysis for solving fourth-order Lane–Emden–Fowler equations. Journal of Computational and Applied Mathematics, 456, 116238 (2025). [SCI, IF: 2.6]. DOI: https://doi.org/10.1016/j.cam.2024.116238

  14. Nikita Saha, Randhir Singh: Numerical and mathematical analysis of nonlocal singular Emden–Fowler type BVPs by improved Taylor-wavelet method. Computational and Applied Mathematics, 43(5), 280 (2024). [SCI, IF: 2.5]. DOI: https://doi.org/10.1007/s40314-024-02808-1

  15. S. Yadav, A. Das, S. Singh, S. Tomar, Randhir Singh, M. Singh: Coupled approach and its convergence analysis for aggregation and breakage models: study of extended temporal behaviour. Powder Technology, 439, 119714 (2024). [SCI, IF: 4.6]. DOI: https://doi.org/10.1016/j.powtec.2024.119714

  16. J. Shahni, Randhir Singh: A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden–Fowler type equations. Journal of Computational Science, 77, 102243 (2024). [SCI, IF: 3.817]. DOI: https://doi.org/10.1016/j.jocs.2024.102243

  17. N. Yadav, M. Singh, S. Singh, Randhir Singh, J. Kumar, S. Heinrich: An efficient approach to obtain analytical solution of nonlinear particle aggregation equation for longer time domains. Advanced Powder Technology, 35(3), 104370 (2024). [SCI, IF: 5.2]. DOI: https://doi.org/10.1016/j.apt.2024.104370

  18. J. Shahni, Randhir Singh: Numerical solution and error analysis of the Thomas–Fermi type equations with integral boundary conditions by the modified collocation techniques. Journal of Computational and Applied Mathematics, 441, 115701 (2024). [SCI, IF: 2.4]. DOI: https://doi.org/10.1016/j.cam.2023.115701

  19. Nikita Saha, Randhir Singh: An efficient new numerical algorithm for solving Emden–Fowler pantograph differential equation using Laguerre polynomials. Journal of Computational Science, 72, 102108 (2023). [SCI, IF: 3.817]. DOI: https://doi.org/10.1016/j.jocs.2023.102108

  20. N. Yadav, M. Singh, S. Singh, Randhir Singh, J. Kumar: A note on homotopy perturbation approach for nonlinear coagulation equation to improve series solutions for longer times. Chaos, Solitons & Fractals, 173, 113628 (2023). [SCI, IF: 9.922]. DOI: https://doi.org/10.1016/j.chaos.2023.113628

  21. Nirupam Sahoo, Randhir Singh: A new efficient semi-numerical method with a convergence control parameter for Lane–Emden–Fowler boundary value problem. Journal of Computational Science, 70, 102041 (2023). [SCI, IF: 3.817]. DOI: https://doi.org/10.1016/j.jocs.2023.102041

  22. P. Pathak, A. K. Barnwal, N. Sriwastava, Randhir Singh, M. Singh: An algorithm based on homotopy perturbation theory and its mathematical analysis for singular nonlinear system of boundary value problems. Mathematical Methods in the Applied Sciences, 48(7), 7745–7766 (2025). [SCI, IF: 3.601]. DOI: https://doi.org/10.1002/mma.9299

  23. J. Shahni, Randhir Singh, C. Cattani: An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem. Mathematics and Computers in Simulation, 210, 1–16 (2023). [SCI, IF: 3.601]. DOI: https://doi.org/10.1016/j.matcom.2023.03.009

  24. J. Shahni, Randhir Singh, C. Cattani: Bernoulli collocation method for the third-order Lane–Emden–Fowler boundary value problem. Applied Numerical Mathematics, 186, 100–113 (2023). [SCI, IF: 2.994]. DOI: https://doi.org/10.1016/j.apnum.2023.01.006

  25. Randhir Singh, Mehakpreet Singh: An optimal decomposition method for analytical and numerical solution of third-order Emden–Fowler type equations. Journal of Computational Science, 63, 101790 (2022). [SCI, IF: 3.817]. DOI: 10.1016/j.jocs.2022.101790

  26. G. Kaur, Randhir Singh, H. Briesen: Approximate solutions of aggregation and breakage population balance equations. Journal of Mathematical Analysis and Applications, 512(2), 126166 (2022). [SCI, IF: 1.417]. DOI: https://doi.org/10.1016/j.jmaa.2022.126166

  27. Randhir Singh, A. M. Wazwaz: An efficient method for solving the generalized Thomas–Fermi and Lane–Emden–Fowler type equations with nonlocal integral type boundary conditions. International Journal of Applied and Computational Mathematics, 8, Article 68 (2022). [Scopus]. DOI: https://doi.org/10.1007/s40819-022-01280-x

  28. Randhir Singh, A. M. Wazwaz: Analytical approximations of three-point generalized Thomas–Fermi and Lane–Emden–Fowler type equations. The European Physical Journal Plus, 137, Article 63 (2022). [SCI, IF: 3.758]. DOI: https://doi.org/10.1140/epjp/s13360-021-02301-2

  29. J. Shahni, Randhir Singh: Numerical simulation of Emden–Fowler integral equation with Green’s function type kernel by Gegenbauer-wavelet, Taylor-wavelet and Laguerre-wavelet collocation methods. Mathematics and Computers in Simulation, 194, 430–444 (2022). [SCI, IF: 3.601]. DOI: https://doi.org/10.1016/j.matcom.2021.12.008

  30. J. Shahni, Randhir Singh: A fast numerical algorithm based on Chebyshev wavelet technique for solving Thomas–Fermi type equation. Engineering with Computers, 38, 3409–3422 (2022). [SCI, IF: 8.083]. DOI: https://doi.org/10.1007/s00366-021-01476-7

  31. J. Shahni, Randhir Singh: Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process. Journal of Mathematical Chemistry, 59, 2327–2343 (2021). [SCI, IF: 2.413]. DOI: https://doi.org/10.1007/s10910-021-01290-y

  32. Randhir Singh, G. Singh, M. Singh: Numerical algorithm for solution of the system of Emden–Fowler type equations. International Journal of Applied and Computational Mathematics, 7, 136 (2021). [Scopus]. DOI: https://doi.org/10.1007/s40819-021-01066-7

  33. J. Shahni, Randhir Singh: Numerical solution of system of Emden–Fowler type equations by Bernstein collocation method. Journal of Mathematical Chemistry, 59, 1117–1138 (2021). [SCI, IF: 2.413]. DOI: https://doi.org/10.1007/s10910-021-01235-5

  34. J. Shahni, Randhir Singh: Laguerre wavelet method for solving Thomas–Fermi type equations. Engineering with Computers, 38, 2925–2935 (2022). [SCI, IF: 8.083]. DOI: https://doi.org/10.1007/s00366-021-01309-7

  35. Randhir Singh: An efficient technique based on the HAM with Green’s function for a class of nonlocal elliptic boundary value problems. Computational Methods for Differential Equations, 9(3), 722–735 (July 2021). [ESCI, Scopus]. DOI: https://doi.org/10.22034/cmde.2020.32673.1519

  36. J. Shahni, Randhir Singh: Numerical results of Emden–Fowler boundary value problems with derivative dependence using the Bernstein collocation method. Engineering with Computers, 38, 371–380 (2022). [SCI, IF: 8.083]. DOI: https://doi.org/10.1007/s00366-020-01155-z

  37. G. Kaur, Randhir Singh, M. Singh, J. Kumar, T. Matsoukas: Reply to comment on “Analytical approach for solving population balances: a homotopy perturbation method”. Journal of Physics A: Mathematical and Theoretical, 53, 388002 (3 pp.) (2020). [SCI, IF: 2.331]. DOI: https://doi.org/10.1088/1751-8121/ab8e65

  38. M. Singh, Randhir Singh, S. Singh, G. Walker, T. Matsoukas: Discrete finite volume approach for multidimensional agglomeration population balance equation on unstructured grid. Powder Technology, 376, 229–240 (2020). [SCI, IF: 5.64]. DOI: https://doi.org/10.1016/j.powtec.2020.08.022

  39.  J. Shahni, Randhir Singh: An efficient numerical technique for Lane–Emden–Fowler boundary value problems: Bernstein collocation method. The European Physical Journal Plus, 135, 475 (2020). [SCI, IF: 3.758]. DOI: https://doi.org/10.1140/epjp/s13360-020-00489-3

  40. Randhir Singh: An iterative technique for solving a class of local and nonlocal elliptic boundary value problems. Journal of Mathematical Chemistry, 58, 1874–1894 (2020). [SCI, IF: 2.413]. DOI: https://doi.org/10.1007/s10910-020-01159-6

  41. Randhir Singh: Solving coupled Lane–Emden equations by Green’s function and decomposition technique. International Journal of Applied and Computational Mathematics, 6, 80 (2020). [Scopus]. DOI: https://doi.org/10.1007/s40819-020-00836-z

  42. Randhir Singh, V. Guleria, M. Singh: Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations. Mathematics and Computers in Simulation, 174, 123–133 (2020). [SCI, IF: 3.601]. DOI: https://doi.org/10.1016/j.matcom.2020.02.004

  43. M. Singh, Randhir Singh, S. Singh, G. Singh, G. Walker: Finite volume approximation of multidimensional aggregation population balance equation on triangular grid. Mathematics and Computers in Simulation, 172, 191–212 (2020). [SCI, IF: 3.601]. DOI: https://doi.org/10.1016/j.matcom.2019.12.009

  44. Randhir Singh: Analytic solution of singular Emden–Fowler type equations by Green’s function and homotopy analysis method. The European Physical Journal Plus, 134, 583 (2019). [SCI, IF: 3.758]. DOI: https://doi.org/10.1140/epjp/i2019-13084-2

  45. Randhir Singh, J. Shahni, H. Garg, A. Garg: Haar wavelet collocation approach for Lane–Emden equations arising in mathematical physics and astrophysics. The European Physical Journal Plus, 134, 548 (2019). [SCI, IF: 3.758]. DOI: https://doi.org/10.1140/epjp/i2019-12889-1

  46.  G. Kaur, Randhir Singh, M. Singh, J. Kumar, T. Matsoukas: Analytical approach for solving population balances: a homotopy perturbation method. Journal of Physics A: Mathematical and Theoretical, 52 (2019). [SCI, IF: 2.331]. DOI: https://doi.org/10.1088/1751-8121/ab2cf5

  47. M. Singh, H. Y. Ismail, Randhir Singh, A. B. Albadarin, G. Walker: Finite volume approximation of nonlinear agglomeration population balance equation on triangular grid. Journal of Aerosol Science, 147, 105430 (2019). [SCI, IF: 2.331]. DOI: https://doi.org/10

  48. Randhir Singh: A modified homotopy perturbation method for nonlinear singular Lane–Emden equations arising in various physical models. International Journal of Applied and Computational Mathematics, 5, 64 (2019). [Scopus]. DOI: https://doi.org/10.1007/s40819-019-0650-y

  49. Randhir Singh, A. M. Wazwaz: An efficient algorithm for solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions: the homotopy analysis method. MATCH Communications in Mathematical and in Computer Chemistry, 81(3), 785–800 (2019). [SCI, IF: 2.633].

  50. Randhir Singh, H. Garg, V. Guleria: Haar wavelet collocation method for Lane–Emden equations with Dirichlet, Neumann and Neumann–Robin boundary conditions. Journal of Computational and Applied Mathematics, 346, 151–160 (2019). [SCI, IF: 2.872]. DOI: https://doi.org/10.1016/j.cam.2018.07.004

  51. Randhir Singh, A.M. Wazwaz: Steady-State Concentrations of Carbon Dioxide Absorbed into Phenyl Glycidyl Ether: An Optimal Homotopy Analysis Method, MATCH Communications in Mathematical and in Computer Chemistry, 81(3), (2019), 800--812.    [SCI, IF.  2.633]

  52. Randhir Singh: Analytical approach for computation of exact and analytic approximate solutions to the system of Lane-Emden-Fowler types equations arising in astrophysics, The European Physical Journal Plus, 133(8), (2018) 320.     [SCI, IF. 3.758]

  53. Randhir Singh: Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst, Journal of Mathematical Chemistry,  56(9), 2579–2590, (2018).    [SCI, IF. 2.413]

  54.  Randhir Singh, A.M. Wazwaz: Optimal Homotopy Analysis Method for Oxygen Diffusion in a Spherical Cell with Nonlinear Oxygen Uptake Kinetics, MATCH Communications in Mathematical and in Computer Chemistry, 80(2), 369-382, (2018).     [SCI, IF.  2.633]

  55.  Randhir Singh, DK Gupta, R. Singh,  M. Singh, E Martinez: Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces, International Journal of Computational Methods, 15(06), 1850048, (2018).  [SCI, IF.   1.734]

  56. Randhir Singh, Nilima Das, J. Kumar: The optimal modified variational iteration method for the Lane-Emden equations with Neumann and Robin boundary conditions, The European Physical Journal Plus, 132(6), 551,(2017).     [SCI, IF. 3.758]

  57. Randhir Singh, A.M. Wazwaz: Numerical solutions of fourth-order Volterra integro-differential equations by the Green's function and decomposition method, Mathematical Sciences, 10(4), (2016) 159--166.      [SCI, IF.  2.070]

  58. Randhir Singh, S. Singh A.M. Wazwaz: A modified homotopy perturbation method for singular time-dependent Emden-Fowler equations with boundary conditions, Journal of Mathematical Chemistry, 54(2), (2016) 918--931.    [SCI, IF. 2.413]

  59. Randhir Singh, A.M.Wazwaz: Numerical solution of the time-dependent Emden--Fowler equations with boundary conditions using modified decomposition method, Applied Mathematics and Information Sciences, 10( 2), 403—408, (2016).   [Scopus]

  60. Randhir Singh, A.M. Wazwaz, J. Kumar: An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models, International Journal of Computer Mathematics, 93(8), 1330—1346, (2016).    [SCI, IF.  1.750]

  61. Nilima Das, Randhir Singh, A.M. Wazwaz, J. Kumar: An algorithm based on the variational iteration technique for the Bratu-type and the Lane-Emden problems, Journal of Mathematical Chemistry, 54(2), 527—551, (2016).  [SCI, IF. 2.413]

  62. Randhir Singh, A.M. Wazwaz: An efficient approach for solving second-order nonlinear differential equation with Neumann boundary conditions, Journal of Mathematical Chemistry, 53( 2), 767-790, (2015). [SCI, IF. 2.413]  

  63. Randhir Singh, G. Nelakanti, J. Kumar, Approximate solution of two-point boundary value problems using Adomian decomposition method with Green's function, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 85(2), 51—61, (2015).   [SCI, IF.  1.291]

  64. Randhir Singh, J. Saha, J. Kumar, Adomian decomposition method for solving fragmentation and aggregation population balance equations, Journal of Applied Mathematics and Computing, 48(1-2), 265-292, (2015).  [SCI, IF.  2.196]

  65. Randhir Singh, J. Kumar, An efficient numerical technique for the solution of nonlinear singular boundary value problems, Computer Physics Communications,185(4), 1282-1289, (2014).  [SCI, IF.  4.717]

  66. R. Singh, J. Kumar, G. Nelakanti: A new efficient technique for solving two-point boundary value problems for integro-differential equations, Journal of Mathematical Chemistry, 52(8), 2030—2051,(2014).   [SCI, IF. 2.413]

  67. Randhir Singh, J. Kumar, G. Nelakanti: Approximate series solution of fourth-order boundary value problems using decomposition method with Green's function, Journal of Mathematical Chemistry,52( 4), 1099—1118,(2014).   [SCI, IF. 2.413]

  68. Randhir Singh, J. Kumar, G. Nelakanti, Approximate series solution of singular boundary value problems with derivative dependence using Green's function technique, Computational and Applied Mathematics, 33(2), (2014), 451--467.   [SCI, IF. 2.998]

  69. Randhir Singh, J. Kumar: The Adomian decomposition method with Green's function for solving nonlinear singular boundary value problems, Journal of Applied Mathematics and Computing, 44(1-2), 397—416,(2014).     [SCI, IF.  2.196]

  70. Randhir Singh, J. Kumar, G. Nelakanti: Numerical solution of singular boundary value problems using Green's function and improved decomposition method, Journal of Applied Mathematics and Computing, 43(1-2), 409—425, (2013).    [SCI, IF.  2.196]

  71. Randhir Singh, J. Kumar, G. Nelakanti: Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology, The Scientific World Journal,  Volume 2014 | Article ID 945872, (2014). [Scopus]

  72. Randhir Singh, G. Nelakanti, J. Kumar:   Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method, The Scientific World Journal,     Volume 2014 | Article ID 150483, (2014). [Scopus]

  73. Randhir Singh, J. Kumar: Computation of eigenvalues of singular Sturm-Liouville problems using modified Adomian decomposition method, International Journal of Nonlinear Science, 15(3), 247—258, (2013).  [Scopus]

 

[B] Conferences/ Workshops Attended/ Participated

  1. Workshop on "Numerical Solutions of Differential Equations"  held from 16th -20th September 2020 at the Department of mathematics, National Institute of Technology Jalandhar (India)
  2. Workshop on "Multi-Scale Computational Fluid Dynamics: Fundamentals and Applications"  held on September 21-25, 2020, at the Department of Mechanical Engineering, National Institute of Technology Jalandhar (India)
  3. UGC- Sponsored 93rd Orientation Programme held from 20-11-2018 to 17-12-2018 at UGC-HRD Centre, Ranchi University, Ranchi, India
  4. Workshop on Mathematical Modeling and Research Methodology  held during August 08-12, 2018, at Dept. of  Mathematics,  HBTU, Kanpur, India
  5. Workshop on High-Performance Computing  (HPC-2016) held during May 2-6, 2016 at Dept. of Computer Science and Engg., BIT Mesra, Ranchi, India
  6. Workshop on Wipro Mission10x Engineering Faculty Workshop held during December 4-6, 2014 at NIST, Berhampur, Odisha, India
  7. Approximate series solution of singular boundary value problems using decomposition method with Green's function, 5th   Research Scholars' Day-2014, February 21-22, 2014 held at IIT Kharagpur, India
  8. An efficient numerical technique for the solution of nonlinear singular boundary value problems, International Conference on Mathematical Modeling and Optimization Techniques in Science and Engineering (MMOTSE -2013), July 26-27, 2013 held at Applied Science Department, SSBT's COET, Bambhori, Jalgaon, India
  9.  Numerical solution of singular boundary value problems using Green's function and improved decomposition method, 4th Research Scholars' Day-2013, February 18-19, 2013 held at IIT Kharagpur, India
  10. Workshop on "Recent Development in Mathematical and Physical Sciences (WRDMPS-2012)" held on January 01, 2012, at Calcutta Mathematical Society, Kolkata, India

 

Important Links: 
Member of Professional Bodies
  1. International Association of Engineers (IAENG) (Member No: 132502)
Current Sponsored Projects
  1. Construction of compact difference methods for real-world singular differential equations funded by (National Project Implementation Unit (NPIU)), Amount Rs 545000/ (2019)
Text and Reference Books
Member, Editorial Board

I am currently employed as a reviewer for the Mathematical Review, which is the largest mathematical research database maintained by the American Mathematical Society in the USA.

Reviewer of the following International Journals

  1. Applied Mathematics and Computation
  2. Computers and Mathematics with Applications
  3. Applied Mathematics Letters
  4. Central European Journal of Mathematics
  5. Applied Mathematical Modelling
  6. International Journal of Modeling, Simulation, and Scientific Computing
  7. Mathematics and Computers in Simulation
  8. Mathematical Methods in the Applied Sciences
  9. Journal of Applied Mathematics and Computing
  10. Journal of Mathematical Chemistry
  11. International Journal of Applied and Computational Mathematics
  12.  Applied Numerical Mathematics
  13. Computational and Applied Mathematics