Aditya Kaushik

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zbMath Open kaushik.adityaMaRDI QIDQ313016

List of research outcomes

PublicationDate of PublicationType
A higher‐order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction–diffusion problems with robin‐boundary conditions2023-12-12Paper
A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay2023-09-05Paper
A uniformly convergent difference method for singularly perturbed parabolic partial differential equations with large delay and integral boundary condition2023-04-20Paper
A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations2022-05-27Paper
Iterative analytic approximation to one‐dimensional nonlinear reaction–diffusion equations2021-10-28Paper
A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems2021-04-07Paper
A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution2021-03-31Paper
An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers2021-02-24Paper
A wavelet based rationalized approach for the numerical solution of differential and integral equations2019-05-21Paper
An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers2017-02-23Paper
Error estimates for a class of partial functional differential equation with small dissipation2017-01-26Paper
Iterative analytic approximation to nonlinear convection dominated systems2016-09-09Paper
Analytic approximation to delayed convection dominated systems through transforms2015-01-23Paper
Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations2013-01-29Paper
Analytic solution of nonlinear singularly perturbed initial value problems through iteration2013-01-11Paper
Analysis of the factorization method for elliptic differential equations2012-12-12Paper
A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations2012-12-12Paper
Singular perturbation analysis of bistable differential equation arising in the nerve pulse propagation2009-03-24Paper
Numerical analysis of a mathematical model for propagation of an electrical pulse in a neuron2008-07-21Paper
A uniformly convergent numerical method on non-uniform mesh for singularly perturbed unsteady Burgers-Huxley equation2008-02-13Paper
Nonstandard perturbation approximation and travelling wave solutions of nonlinear reaction diffusion equations2008-01-23Paper
Pointwise uniformly convergent numerical treatment for the non-stationary Burger–Huxley equation using grid equidistribution2007-11-12Paper

Research outcomes over time


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