[HTML][HTML] High-order finite difference technique for delay pseudo-parabolic equations

GM Amiraliyev, E Cimen, I Amirali, M Cakir - Journal of Computational and …, 2017 - Elsevier
One dimensional initial–boundary delay pseudo-parabolic problem is being considered. To
solve this problem numerically, we construct higher order difference method for …

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 …

Uniform difference method for singularly pertubated delay Sobolev problems

AB Chiyaneh, H Durus - Quaestiones Mathematicae, 2020 - Taylor & Francis
In this paper, a numerical study is made of an initial-boundary value problem for a singularly
perturbed delay Sobolev equations (SPDSEs). Here we propose an exponentially fitted …

A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter

B Güneş, H Duru - … Faculty of Sciences University of Ankara Series …, 2024 - dergipark.org.tr
In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with
time-delay parameter are considered by numerically. Initially, the asymptotic properties of …

A High‐Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation and Numerical Results

NH Nhan, TTM Dung, LTM Thanh… - Mathematical …, 2021 - Wiley Online Library
In this paper, by applying the Faedo‐Galerkin approximation method and using basic
concepts of nonlinear analysis, we study the initial‐boundary value problem for a nonlinear …

A Trigonometric Spline Method for a Singularly Perturbed Parabolic Time-Dependent Partial Differential-Difference Equations Arising in Computational Neuroscience

M Lalu, K Phaneendra - 2023 - researchsquare.com
We examine a computational technique for a singularly perturbed parabolic partial
differential equation with mixed small shifts arguments, whose solution displays parabolic …