A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay

AH Ejere, GF Duressa, MM Woldaregay, TG Dinka - SN Applied Sciences, 2022 - Springer
In this study, a parameter-uniform numerical scheme is built and analyzed to treat a
singularly perturbed parabolic differential equation involving large spatial delay. The …

A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay

G Babu, M Prithvi, KK Sharma, VP Ramesh - Numerical Algorithms, 2022 - Springer
This article deals with the class of singularly perturbed convection-diffusion problem with
time delay. A parameter uniform numerical method is developed, and its detailed analysis is …

A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift

AH Ejere, TG Dinka, MM Woldaregay, GF Duressa - BMC Research Notes, 2023 - Springer
Objective The paper is focused on develo** and analyzing a uniformly convergent
numerical scheme for a singularly perturbed reaction-diffusion problem with a negative shift …

Numerical Approximation of One‐Dimensional Transport Model Using an Hybrid Approach in Finite Volume Method

A Hussain, R Ali - Mathematical Problems in Engineering, 2023 - Wiley Online Library
A finite volume method is a well‐known and appropriate approach for numerical
approximation of governing problems. This article proposes a finite volume approach to …

A Nonstandard Fitted Operator Method for Singularly Perturbed Parabolic Reaction‐Diffusion Problems with a Large Time Delay

AA Tiruneh, GA Derese… - International Journal of …, 2022 - Wiley Online Library
In this paper, we design and investigate a higher order ε‐uniformly convergent method to
solve singularly perturbed parabolic reaction‐diffusion problems with a large time delay. We …

A Parameter‐Uniform Numerical Scheme for Solving Singularly Perturbed Parabolic Reaction‐Diffusion Problems with Delay in the Spatial Variable

AH Ejere, GF Duressa… - … of Mathematics and …, 2023 - Wiley Online Library
The objective of this research work is to develop and analyse a numerical scheme for
solving singularly perturbed parabolic reaction‐diffusion problems with large spatial delay …

An efficient numerical approach for solving singularly perturbed parabolic differential equations with large negative shift and integral boundary condition

WT Gobena, GF Duressa - Applied Mathematics in Science and …, 2023 - Taylor & Francis
In this study, we consider singularly perturbed large negative shift parabolic reaction–
diffusion with integral boundary condition. The continuous solution's properties are …

Absolutely stable fitted mesh scheme for singularly perturbed parabolic convection diffusion equations

DM Tefera, AA Tirunehi, GA Derese - Reaction kinetics, mechanisms and …, 2024 - Springer
In this article, an absolutely stable difference scheme is investigated for solving singularly
perturbed time dependent convection–diffusion equations. Problems that exhibit right …

Fitted operator method over Gaussian quadrature formula for parabolic singularly perturbed convection-diffusion problem

DM Tefera, AA Tiruneh, GA Derese - Numerical Analysis and Applications, 2022 - Springer
In this manuscript, a new exponentially fitted operator strategy for solving a singularly
perturbed parabolic partial differential equation with a right boundary layer is considered …

A Uniformly Convergent Numerical Algorithm on Harmonic () Mesh for Parabolic Singularly Perturbed Convection-Diffusion Problems with Boundary Layer

G Babu, M Prithvi, KK Sharma, VP Ramesh - Differential Equations and …, 2024 - Springer
This paper deals the design and analysis of a parameter uniform finite difference algorithm
for a class of parabolic singularly perturbed convection-diffusion problems. The discrete …