A review on singularly perturbed differential equations with turning points and interior layers

KK Sharma, P Rai, KC Patidar - Applied Mathematics and computation, 2013 - Elsevier
Singular perturbation problems with turning points arise as mathematical models for various
physical phenomena. The problem with interior turning point represent one-dimensional …

Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data

M Chandru, P Das, H Ramos - Mathematical Methods in the …, 2018 - Wiley Online Library
In the present work, we consider a parabolic convection‐diffusion‐reaction problem where
the diffusion and convection terms are multiplied by two small parameters, respectively. In …

A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms

M Chandru, T Prabha, P Das, V Shanthi - Differential Equations and …, 2019 - Springer
In this article, a parameter uniform numerical method is developed for a two-parameter
singularly perturbed parabolic partial differential equation with discontinuous convection …

[图书][B] Boundary Value Problems for Engineers

AÜ Keskin - 2019 - Springer
This book is a brief yet comprehensive introduction to numerical solution of two-point
boundary value problems (BVPs) for ordinary differential equations (ODEs) using the …

Solution of BVPs using bvp4c and bvp5c of MATLAB

AÜ Keskin, AÜ Keskin - Boundary value problems for engineers: with …, 2019 - Springer
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A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term

AS Rathore, V Shanthi, H Ramos - Applied Numerical Mathematics, 2023 - Elsevier
In this article, a singularly perturbed second-order Fredholm integro-differential equation
with a discontinuous source term is examined. An exponentially-fitted numerical method on …

[HTML][HTML] Simulation of natural convective boundary layer flow of a nanofluid past a convectively heated inclined plate in the presence of magnetic field

M Goyal, R Bhargava - International Journal of Applied and Computational …, 2018 - Springer
This paper deals with the numerical simulation of transient magnetohydrodynamics natural
convective boundary layer flow of a nanofluid over an inclined plate. In the modeling of …

[HTML][HTML] A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data

M Chandru, T Prabha, V Shanthi - Journal of Computational and Applied …, 2017 - Elsevier
A singularly perturbed second order ordinary differential equation having two parameters
with a discontinuous source term is presented for numerical analysis. Theoretical bounds on …

ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers

K Mukherjee, S Natesan - Numerical Algorithms, 2011 - Springer
This article is devoted to the study of a hybrid numerical scheme for a class of singularly
perturbed parabolic convection-diffusion problems with discontinuous convection …

[HTML][HTML] A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems

MA Mohye, JB Munyakazi, TG Dinka - Frontiers in Applied …, 2023 - frontiersin.org
In this article, a class of singularly perturbed time-delay two-parameter second-order
parabolic problems are considered. The presence of the two small parameters attached to …