This paper equipped the time-and space-fractional Sobolev equation with the condition of
the Caputo fractional derivative in 1+ 1-dimensional space to be solved with the help of the …

This paper aims to establish the finite difference scheme on Bakhvalov-type mesh for the
singularly perturbed pseudo-parabolic problems with time-delay. Using the energy …

Abstract Delay Sobolev equations (DSEs) are a class of important models in fluid
mechanics, thermodynamics and the other related fields. For solving this class of equations …

This paper deals with the numerical computation and analysis for nonlinear Sobolev
equations with distributed delay. We present linearized compact difference methods for …

In this work, we study the numerical approximation of the initial-boundary-value problem of
nonlinear pseudo-parabolic equations with Dirichlet boundary conditions. We propose a …

A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic
differential equation with a time delay. The solution is obtained by a step by step …

In this paper, we study the bilinear finite volume element method for solving the singularly
perturbed convection-diffusion problem on the Shishkin mesh. We first prove that the finite …

Purpose The purpose of this study is to construct and analyze a parameter uniform higher-
order scheme for singularly perturbed delay parabolic problem (SPDPP) of convection …

We consider a singularly perturbed initial-third boundary value Sobolev problem. Firstly, the
asymptotic behaviour of the exact solution is analysed. Then, a second-order finite …

This paper presents the robust and stable difference scheme to estimate singularly
perturbed Sobolev boundary value problems with Robin type boundary condition. Firstly, the …