Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations
J Mohapatra, S Priyadarshana… - Engineering …, 2023 - emerald.com
Purpose The purpose of this work is to introduce an efficient, global second-order accurate
and parameter-uniform numerical approximation for singularly perturbed parabolic …
and parameter-uniform numerical approximation for singularly perturbed parabolic …
An efficient numerical approximation for mixed singularly perturbed parabolic problems involving large time-lag
S Priyadarshana, J Mohapatra - Indian Journal of Pure and Applied …, 2023 - Springer
The objective of this work is to provide an efficient numerical scheme for solving singularly
perturbed parabolic convection-diffusion problems with a large time lag having Robin-type …
perturbed parabolic convection-diffusion problems with a large time lag having Robin-type …
Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter
S Priyadarshana, J Mohapatra - Journal of Applied Mathematics and …, 2023 - Springer
A higher-order robust numerical algorithm is proposed for singularly perturbed semilinear
parabolic partial differential equations having time lag. After dealing the semilinearity with …
parabolic partial differential equations having time lag. After dealing the semilinearity with …
A robust numerical technique for solving non-linear Volterra integro-differential equations with boundary layer
In this paper, we study a first-order non-linear singularly perturbed Volterra integro-
differential equation (SPVIDE). We discretize the problem by a uniform difference scheme on …
differential equation (SPVIDE). We discretize the problem by a uniform difference scheme on …
A numerical method on Bakhvalov-Shishkin mesh for Volterra integro-differential equations with a boundary layer
We construct a finite difference scheme for a first-order linear singularly perturbed Volterra
integro-differential equation (SPVIDE) on Bakhvalov-Shishkin mesh. For the discretization of …
integro-differential equation (SPVIDE) on Bakhvalov-Shishkin mesh. For the discretization of …