Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition

GM Wondimu, MM Woldaregay, GF Duressa… - BMC Research …, 2023 - Springer
Objectives In this article, a singularly perturbed delay reaction-diffusion problem with
nonlocal boundary conditions is considered. The exponential fitting factor is introduced to …

Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Equation with Small Time Delay

SK Tesfaye, MM Woldaregay, TG Dinka… - … of Mathematics and …, 2024 - Wiley Online Library
In this article, a uniformly convergent numerical scheme is developed to solve a singularly
perturbed convection‐diffusion equation with a small delay having a boundary layer along …

[PDF][PDF] Third order singularly perturbed delay differential equation of reaction diffusion type with integral boundary condition

E Sekar, A Tamilselvan - Journal of Applied Mathematics and …, 2019 - yadda.icm.edu.pl
A class of third order singularly perturbed delay differential equations of reaction diffusion
type with an integral boundary condition is considered. A numerical method based on a …

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 …

[HTML][HTML] Fitted mesh numerical method for two-parameter singularly perturbed partial differential equations with large time lag

FW Gelu, IT Daba, WG Melesse, GD Kebede - Partial Differential Equations …, 2024 - Elsevier
In this study, we devise a parameter-uniform second-order numerical method for two-
parameter singularly perturbed partial differential equations with large time lag. The …

Exponentially fitted robust scheme for the solution of singularly perturbed delay parabolic differential equations with integral boundary condition

WT Gobena, GF Duressa - International Journal of Applied and …, 2024 - Springer
In this paper, an exponentially fitted finite difference method is developed to solve singularly
perturbed delay parabolic partial differential equations having a large delay on the spatial …

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 …

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 higher order compact numerical approach for singularly perturbed parabolic problem with retarded term

G Babu, KK Sharma, K Bansal - Journal of Difference Equations …, 2024 - Taylor & Francis
In this work, a compact finite difference approach is constructed for singularly perturbed
parabolic reaction diffusion problems with a retarded term. The time and space derivatives …

Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay

SCS Rao, AK Chaturvedi - Journal of Difference Equations and …, 2023 - Taylor & Francis
In this article, we are interested in the numerical analysis of a singularly perturbed parabolic
differential equation with time delay. The source term of the considered problem has …