A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh

B Gunes, H Duru - International Journal of Computer Mathematics, 2023 - Taylor & Francis
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 …

Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations

C Zhang, Z Tan - Communications in Nonlinear Science and Numerical …, 2020 - Elsevier
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 …

Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay

Z Tan, M Ran - Numerical Methods for Partial Differential …, 2023 - Wiley Online Library
This paper deals with the numerical computation and analysis for nonlinear Sobolev
equations with distributed delay. We present linearized compact difference methods for …

Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models

E Abreu, A Durán - Computers & Mathematics with Applications, 2021 - Elsevier
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 …

Higher order uniformly convergent numerical algorithm for time-dependent singularly perturbed differential-difference equations

VP Ramesh, B Priyanga - Differential Equations and Dynamical Systems, 2021 - Springer
This paper presents a higher order uniformly convergent discretization for second order
singularly perturbed parabolic differential equation with delay and advance terms. The …

Three layer difference method for linear pseudo-parabolic equation with delay

I Amirali, GM Amiraliyev - Journal of Computational and Applied …, 2022 - Elsevier
This paper deals with the study a finite-difference approximation of the one dimensional
initial–boundary value problem for a pseudo-parabolic equation containing time delay in …

One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay

C Zhang, C Tang - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
This paper deals with the numerical solutions of initial–boundary value problems (IBVPs) of
nonlinear two-dimensional Sobolev equations with time-variable delay. For solving this type …

Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method

I Amirali, GM Amiraliyev - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, we consider the one-dimensional initial–boundary problem for a pseudo-
parabolic equation with a time delay in the second spatial derivative. To solve this problem …

[PDF][PDF] Analysis of higher order difference method for a pseudo-parabolic equation with delay

I Amirali - Miskolc Mathematical Notes, 2019 - real.mtak.hu
In this paper, the author considers the one dimensional initial-boundary problem for a
pseudo-parabolic equation with time delay in second spatial derivative. To solve this …

Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline

ZI Hassen, GF Duressa - BMC Research Notes, 2025 - Springer
Objective In this work, singularly perturbed time dependent delay parabolic convection-
diffusion problem with Dirichlet boundary conditions is considered. The solution of this …