SCI/SCIE

Publications (SCI/SCIE)

Satpal Singh, Devendra Kumar, J. Vigo-Aguiar, A robust numerical technique for a weakly coupled system of parabolic singularly perturbed reaction-diffusion equations, Journal of Mathematical Chemistry (Accepted).
Satpal Singh, Devendra Kumar, Higinio Ramos, An efficient parameter uniform spline-based technique for singularly perturbed weakly coupled reaction-diffusion system, Journal of Applied Analysis and Computation (Accepted).
Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu, Numerical simulation for generalized time-fractional Burgers' equation with three distinct linearization schemes, Journal of Computational and Nonlinear Dynamics (Accepted).
Reetika Chawla, Komal Deswal, Devendra Kumar, A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers' equation, International Journal of Nonlinear Sciences and Numerical Simulation (Accepted).
Parvin Kumari, Devendra Kumar, Higinio Ramos, Parameter independent scheme for singularly perturbed problems including a boundary turning point of multiplicity $\ge 1$, Journal of Applied Analysis and Computation (Accepted).
Satpal Singh, Devendra Kumar, Vembu Shanthi, Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE, Applied Numerical Mathematics, 186 (2023) 334-357. Link
Süleyman Cengizci, Devendra Kumar, Mehmet Tarik Atay, A semi-analytic method for solving singularly perturbed twin-layer problems with a turning point, Mathematical Modelling and Analysis, 28 (2023) 102-117. Link
Renu Choudhary, Devendra Kumar, Satpal Singh, Second-order convergent scheme for time-fractional partial differential equations with a delay in time, Journal of Mathematical Chemistry, 61 (2023) 21-46. Link
Renu Choudhary, Satpal Singh, Devendra Kumar, An efficient numerical technique for two parameter singularly perturbed problems having discontinuity in convection coefficient and source term, Computational and Applied Mathematics, 42 (2023) 62. Link
Renu Choudhary, Satpal Singh, Devendra Kumar, A second-order numerical scheme for the time-fractional partial differential equations with a time delay, Computational and Applied Mathematics, 41 (2022) 114. Link
Devendra Kumar, Komal Deswal, Satpal Singh, Wavelet-based approximation with non-standard finite difference scheme for singularly perturbed partial integrodifferential equation, Computational and Applied Mathematics, 41 (2022) 341. Link
Satpal Singh, Parvin Kumari, Devendra Kumar, An effective numerical approach for two parameter time-delayed singularly perturbed problems, Computational and Applied Mathematics, 41 (2022) 337. Link
Satpal Singh, Devendra Kumar, Spline-based parameter-uniform scheme for fourth-order singularly perturbed differential equations, Journal of Mathematical Chemistry, 60 (2022) 872-1902. Link
Reetika Chawla, Komal Deswal, Devendra Kumar, D. Baleanu, A novel numerical approach for fractional derivatives, AIMS Mathematics, 7 (2022) 17252-17268. Link
Satpal Singh, Devendra Kumar, Komal Deswal, Trigonometric B-spline based e-uniform scheme for singularly perturbed problems with Robin boundary conditions, Journal of Difference Equations and Applications, 28 (2022) 924-945. Link
Komal Deswal, Devendra Kumar, J. Vigo-Aquir, Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes, Journal of Mathematical Chemistry, 60 (2022) 1314-1336. Link
Komal Deswal, Devendra Kumar, A wavelet-based novel approximation to investigate the sensitivities of various path-independent binary options, Mathematical Methods in the Applied Sciences, 45 (2022) 9456-9482. Link
Komal Deswal, Devendra Kumar, Rannacher time-marching with orthogonal spline collocation method for retrieving the discontinuous hedging parameters, Applied Mathematics and Computation, 427 (2022) 127168. Link
Devendra Kumar, Komal Deswal, Two-dimensional Haar wavelet based approximation technique to study the sensitivities of the price of an option, Numerical Methods for Partial Differential Equations, 38 (2022) 1195-1214. Link
Satpal Singh, Devendra Kumar, Higinio Ramos, A uniformly convergent quadratic $B$-spline based scheme for singularly perturbed degenerate parabolic problems, Mathematics and Computers in Simulation, 195 (2022) 88-106. Link
Devendra Kumar, Komal Deswal, Satpal Singh, A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data, Applied Numerical Mathematics, 173 (2022) 279-294. Link
Devendra Kumar, Komal Deswal, Wavelet-based approximation for two-parameter singularly perturbed problems with Robin boundary conditions, Journal of Applied Mathematics and Computing, 68 (2022) 125-149. Link
Devendra Kumar, A uniformly convergent scheme for two-parameter problems having layer behaviour, International Journal of Computer Mathematics, 99 (2022) 553-574. Link
Meenakshi Shivhare, P. Pramod Chakravarthy, Devendra Kumar, Quadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh, International Journal of Computer Mathematics, 98 (2022) 2461-2481. Link
Mohammad Prawesh Alam, Devendra Kumar, and Arshad Khan, Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems, International Journal of Computer Mathematics, 98 (2021) 1029-1048. Link
Meenakshi Shivhare, Pramod Chakravarthy Podila, Devendra Kumar, A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters, Journal of Mathematical Chemistry, 59 (2021) 186–215. Link
Devendra Kumar, Komal Deswal, Haar-wavelet based approximation for pricing American options under linear complementarity formulations, Numerical Methods for Partial Differential Equations, 37 (2021) 1091-1111. Link
Devendra Kumar and Parvin Kumari, Uniformly convergent scheme for two-parameter singularly perturbed problems with non-smooth data, Numerical Methods for Partial Differential Equations, 37 (2021) 796-817. Link
Devendra Kumar, A parameter-uniform scheme for the parabolic singularly perturbed problem with a delay in time, Numerical Methods for Partial Differential Equations, 37 (2021) 626-642. Link
Devendra Kumar and Parvin Kumari, Parameter-uniform numerical treatment of singularly perturbed initial boundary value problems with large delay, Applied Numerical Mathematics, 153 (2020) 412–429. Link
Devendra Kumar, Parvin Kumari, A parameter-uniform collocation scheme for singularly perturbed delay problems with integral boundary condition, Journal of Applied Mathematics and Computing, 63 (2020) 813-828. Link
Devendra Kumar, Parvin Kumari, A parameter-uniform scheme for singularly perturbed partial differential equations with a time lag, Numerical Methods for Partial Differential Equations, 36 (2020) 868-886. Link
Devendra Kumar, A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers, International Journal of Computer Mathematics, 96 (2019) 865-882. Link
Devendra Kumar, Parvin Kumari, A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay, Journal of Applied Mathematics and Computing, 59 (2019) 179-206. Link
Devendra Kumar, An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience, Numerical Methods for Partial Differential Equations, 34 (2018) 1933-1952. Link
Devendra Kumar, A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers, Journal of Difference Equations and Applications, 24 (2018) 1847-1870. Link
Devendra Kumar, Fitted mesh method for a class of singularly perturbed differential-difference equations, Numerical Mathematics: Theory Methods and Applications, 8 (2015) 496-514. Link
Devendra Kumar, A computational technique for boundary value problem with two small parameters, Electronic Journal of Differential Equations, 2013 (2013) 1-10. Link
Devendra Kumar, M. K. Kadalbajoo, A parameter uniform method for singularly perturbed differential-difference equations with small shifts, Journal of Numerical Mathematics, 21 (2013) 1-22. Link
Devendra Kumar, M. K. Kadalbajoo, Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behaviour, Journal of Numerical Mathematics, 20 (2012) 33-53. Link
Devendra Kumar, M. K. Kadalbajoo, A parameter-uniform numerical method for time-dependent singularly perturbed differential equations with small shifts, Applied Mathematical Modelling, 35 (2011) 2805-2819. Link
M. K. Kadalbajoo, Devendra Kumar, A computational method for singularly perturbed nonlinear differential-difference equations with small shift, Applied Mathematical Modelling, 34 (2010) 2584-2596. Link
M. K. Kadalbajoo, Devendra Kumar, Variable mesh finite difference method for self-adjoint singularly perturbed two-point boundary value problems, Journal of Computational Mathematics, 28 (2010) 711-724. Link
M. K. Kadalbajoo, Devendra Kumar, Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme, Computers & Mathematics with Applications, 57 (2009) 1147-1156. Link
M. K. Kadalbajoo, A. S. Yadaw, Devendra Kumar, Comparative study of singularly perturbed two point BVPs via: fitted mesh finite difference method, B-Spline collocation method and finite element method, Applied Mathematics and Computation, 204 (2008) 713-725. Link
M. K. Kadalbajoo, Devendra Kumar, Fitted mesh B-Spline collocation method for singularly perturbed differential-difference equations with small delay, Applied Mathematics and Computation, 204 (2008) 90-98. Link
M. K. Kadalbajoo, Devendra Kumar, A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial-value technique, Applied Mathematics and Computation, 202 (2008) 738-746. Link
M. K. Kadalbajoo, Devendra Kumar, Parameter-uniform fitted operator B-spline collocation method for self-adjoint singularly perturbed two-point boundary value problems, Electronic Transactions on Numerical Analysis, 30 (2008) 346-358. Link
M. K. Kadalbajoo, Devendra Kumar, Geometric mesh FDM for self adjoint singular perturbation boundary value problems, Applied Mathematics and Computation, 190 (2007) 1646-1656. Link

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