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 …

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 …

[HTML][HTML] A numerical method for singularly perturbed turning point problems with an interior layer

FZ Geng, SP Qian, S Li - Journal of Computational and Applied …, 2014 - Elsevier
The objective of this paper is to present a numerical method for solving singularly perturbed
turning point problems exhibiting an interior layer. The method is based on the asymptotic …

[HTML][HTML] Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers

FZ Geng, SP Qian - Applied Mathematics Letters, 2013 - Elsevier
A numerical method is proposed for solving singularly perturbed turning point problems
exhibiting twin boundary layers based on the reproducing kernel method (RKM). The …

[HTML][HTML] Modified reproducing kernel method for singularly perturbed boundary value problems with a delay

FZ Geng, SP Qian - Applied Mathematical Modelling, 2015 - Elsevier
This paper is devoted to the numerical treatment of a class of singularly perturbed delay
boundary value problems with a left layer. The method is proposed based on the …

[HTML][HTML] A novel fitted numerical scheme for singularly perturbed delay parabolic problems with two small parameters

NT Negero, GF Duressa, L Rathour… - … Differential Equations in …, 2023 - Elsevier
In this paper, fitted operator finite difference methods are presented for two-parameter
singularly perturbed one-dimensional parabolic partial differential equations with a delay in …

[HTML][HTML] Quintic B-spline method for solving second order linear and nonlinear singularly perturbed two-point boundary value problems

RK Lodhi, HK Mishra - Journal of Computational and Applied Mathematics, 2017 - Elsevier
In this paper, we have studied a numerical scheme to solve second order singularly
perturbed two-point linear and nonlinear boundary value problems. The boundary layer of …

[PDF][PDF] Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems

FZ Geng - AIMS Math, 2020 - aimspress.com
Piecewise reproducing kernel-based symmetric collocation approach for linear stationary
singularly perturbed problems Page 1 http://www.aimspress.com/journal/Math AIMS …

Numerical approximation for a class of singularly perturbed delay differential equations with boundary and interior layer (s)

P Rai, KK Sharma - Numerical Algorithms, 2020 - Springer
This paper is devoted to the study of singularly perturbed delay differential equations with or
without a turning point. The solution of the considered class of problems may exhibit …

Fibonacci Collocation Method for Solving High‐Order Linear Fredholm Integro‐Differential‐Difference Equations

A Kurt, S Yalçınbaş, M Sezer - International Journal of …, 2013 - Wiley Online Library
A new collocation method based on the Fibonacci polynomials is introduced for the
approximate solution of high order‐linear Fredholm integro‐differential‐difference equations …