[HTML][HTML] A systematic review on the solution methodology of singularly perturbed differential difference equations

GF Duressa, IT Daba, CT Deressa - Mathematics, 2023 - mdpi.com
This review paper contains computational methods or solution methodologies for singularly
perturbed differential difference equations with negative and/or positive shifts in a spatial …

Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters

S Priyadarshana, J Mohapatra, SR Pattanaik - Computational and Applied …, 2022 - Springer
The purpose of this work is to provide robust numerical scheme for singularly perturbed time
delay (large) convection-reaction-diffusion problem with two small parameters. The work …

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 …

[HTML][HTML] Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

S Ahmed, S Jahan, KJ Ansari, K Shah… - Results in Applied …, 2024 - Elsevier
In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …

[HTML][HTML] 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 …

Hybrid Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Problem with a Small Time Lag

MA Ayele, AA Tiruneh… - Abstract and Applied …, 2023 - Wiley Online Library
In this article, a singularly perturbed convection‐diffusion problem with a small time lag is
examined. Because of the appearance of a small perturbation parameter, a boundary layer …

Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts

S Priyadarshana, SR Sahu… - Iranian Journal of …, 2022 - ijnao.um.ac.ir
This article deals with an effcient approximation method named successive complementary
expansion method (SCEM) for solving singularly perturbed differential-difference equations …

A Novel Fitted Three Term Method for the Numerical Treatment of Singularly Perturbed Differential–Difference Equations

R Ranjan, HS Prasad, GG Kiltu - Mediterranean Journal of Mathematics, 2024 - Springer
An exponentially fitted method is proposed on uniform mesh for the numerical treatment of a
boundary-value problem for the singularly perturbed differential–difference equations of …

A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems involving mixed space shifts

N Raji Reddy, J Mohapatra - Computational Methods for …, 2023 - cmde.tabrizu.ac.ir
This article proposes a parameter uniform numerical method for solving a singularly
perturbed delay parabolic initial boundary-value problem involving mixed space shifts. The …

Fitted Numerical Scheme for Second‐Order Singularly Perturbed Differential‐Difference Equations with Mixed Shifts

M Ayalew, GG Kiltu, GF Duressa - Abstract and Applied …, 2021 - Wiley Online Library
This paper presents the study of singularly perturbed differential‐difference equations of
delay and advance parameters. The proposed numerical scheme is a fitted fourth‐order …