A brief survey on numerical methods for solving singularly perturbed problems

MK Kadalbajoo, V Gupta - Applied mathematics and computation, 2010 - Elsevier
In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

A recent survey on computational techniques for solving singularly perturbed boundary value problems

M Kumar, P Singh, HK Mishra - International Journal of Computer …, 2007 - Taylor & Francis
This survey paper contains a surprisingly large amount of material and indeed can serve as
an introduction to some of ideas and methods of singular perturbation theory. In continuation …

Parameter‐Uniform Numerical Scheme for Singularly Perturbed Delay Parabolic Reaction Diffusion Equations with Integral Boundary Condition

WT Gobena, GF Duressa - International Journal of Differential …, 2021 - Wiley Online Library
Numerical computation for the class of singularly perturbed delay parabolic reaction
diffusion equations with integral boundary condition has been considered. A parameter …

Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition

E Sekar, A Tamilselvan - Journal of Applied Mathematics and Computing, 2019 - Springer
In this paper we consider a class of singularly perturbed delay differential equations of
convection diffusion type with integral boundary condition. A finite difference scheme with an …

Uniformly convergent numerical method for singularly perturbed convection‐diffusion type problems with nonlocal boundary condition

HG Debela, GF Duressa - International Journal for Numerical …, 2020 - Wiley Online Library
In this article, we consider a class of singularly perturbed differential equations of convection‐
diffusion type with nonlocal boundary conditions. A uniformly convergent numerical method …

[HTML][HTML] New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions

F Geng, M Cui - Journal of Computational and Applied Mathematics, 2009 - Elsevier
This paper investigates the forced Duffing equation with integral boundary conditions. Its
approximate solution is developed by combining the homotopy perturbation method (HPM) …

A parameter-uniform collocation scheme for singularly perturbed delay problems with integral boundary condition

D Kumar, P Kumari - Journal of Applied Mathematics and Computing, 2020 - Springer
Based on the basis of B-spline functions an efficient numerical scheme on a piecewise-
uniform mesh is suggested to approximate the solution of singularly perturbed problems with …

A numerical study on the difference solution of singularly perturbed semilinear problem with integral boundary condition

M Cakir - Mathematical Modelling and Analysis, 2016 - Taylor & Francis
The present study is concerned with the numerical solution, using finite difference method
on a piecewise uniform mesh (Shishkin type mesh) for a singularly perturbed semilinear …

Second order singularly perturbed delay differential equations with non-local boundary condition

S Elango - Journal of Computational and Applied Mathematics, 2023 - Elsevier
This paper is concerned with the singularly perturbed delay differential equations with
integral boundary conditions. To solve the problem, a finite difference scheme with an …

Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space

J Du, M Cui - International Journal of Computer Mathematics, 2010 - Taylor & Francis
In this paper, we propose a new method to solve the forced Duffing equation with integral
boundary conditions. Its exact solution is represented in the form of a series in the …