Dr. Dinkar Sharma

Assistant Professor

Dr. Dinkar Sharma did his Bachelor and Masters degree in Mathematics from Guru Nanak Dev University, Amritsar and doctorate (Ph. D.) in Applied Mathematics from Dr. B. R. Ambedkar National Institute of Technology, Jalandhar on the topic “Homotopy perturbation and finite element methods for partial differential equations”. He has 10 years of research cum teaching experience.

10 Years in Teaching

 Finite Element Methods, HPM, HPTM 

B.Sc , M.Sc , Ph.D.

Publication Details

  • Convergence and Error Analysis of Series Solution of Nonlinear Partial Differential Equation, “Nonlinear Engineering”, https://doi.org/10.1515/nleng-2017-0113, 2018.
  • Significant enhancement in the propagation of cosh-Gaussian laser beam in a relativistic–ponderomotive plasma using ramp density profile, “Laser and Particle Beams” 36 (2), 179-185, 2018.
  • Volumetric and acoustic studies of amino acids in aqueous ionic liquid solution “Journal of Molecular Liquids” (Elsevier), 242, 739-746, 2017.
  • On the problem of convergence of series solution of nonlinear fractional partial differential equation, “AIP Conference Proceedings”, 1860, 020027, 2017
  • Hydration properties of glycylglycine in aqueous ionic liquid solutions at different temperatures: Volumetric and acoustic approach, “Journal of Molecular Liquids” (Elsevier), 234, 187-193, 2017
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  • A solution of Fifth-order Korteweg and de Vries Equation by Homotopy perturbation Transform Method using He’s Polynomial, “Nonlinear Engineering”, 6, 89-94, 2017
  • Solvation behavior of glycine and glycyl dipeptide in aqueous 1-butyl-3-methylimidazolium bromide ionic liquid solutions at different temperatures, “Journal of Molecular Liquids” (Elsevier), 233, 38-44, 2017
  • Thermodynamic properties of glycine and diglycine in aqueous solutions of 1-pentyl-3-methylimidazolium chloride at different temperatures, “Journal of Molecular Liquids” (Elsevier), 229, 417-423, 2017
  • stop Perturbation Transform Method with He’s Polynomial for Solution of Coupled Nonlinear Partial Differential Equations, “Nonlinear Engineering”, 5 (1), 17-23, 2016
  • Homotopy Perturbation Sumudu Transform Method with He’s Polynomial for Solutions of Some Fractional Nonlinear Partial Differential Equations, “International Journal of Nonlinear Science”, 21(2), 91-97, 2016
  • Solvation behavior of glycine and diglycine in aqueous 1-butyl-3-methylimidazolium chloride ionic liquid solutions at different temperatures, “Journal of Molecular Liquids” (Elsevier), 220, 954-960, 2016.
  • Galerkin-Finite element method for the numerical solution of Advection-Diffusion Equation, “International Journal of Pure and Applied Mathematics” 70(3), 389-399, 2011.
  • Study of Vibration Analysis of a Rotating Homogeneous Thermoelastic Circular Disk by using FEM, “International Journal of Computer Applications”, 35 (13), 1-9, 2011.
  • Analysis of Stresses and Strains in a rotating homogeneous thermoelastic circular disk by using finite element method, “International Journal of Computer Applications”, 35 (13), 10-14, 2011.
  • Numerical solution of two-point boundary value problems using Galerkin-Finite element method, “International Journal of Nonlinear Science”, 13 (2), 204-210, 2012
  • Stress and Strain analysis of rotating FGM thermoelastic circular disk by using FEM, “International Journal of Pure and Applied Mathematics”, 74 (3), 339-352, 2012
  • A Comparative Study of Modal Matrix and Finite Element Methods for Two-Point Boundary Value Problems, “International Journal of Applied Mathematics and Mechanics”, 8 (13), 29-45, 2012.
  • A Comparative Study of Numerical Techniques and Homotopy Perturbation Method for Solving Parabolic Equations, “International Journal for Computational Methods in Engineering Science and Mechanics” (Taylor and Francis), 13 (1), 403-407, 2012
  • Vibration analysis of a rotating FGM thermoelastic Axisymmetric circular disk by using FEM, “International Journal for Computational Methods in Engineering Science and Mechanics” (Taylor and Francis), 14 (3), 262-270, 2013.
  • Homotopy Perturbation Method for KdV Equations, “International Journal of Nonlinear Science”, 15 (2), 173-177, 2013.
  • A Comparative Study of Galerkin Finite Element and B-Spline Collocation Methods for Two Point Boundary Value Problems, “International Journal of Computer Applications”, 67 (23) 1-6, 2013