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 …
singularly perturbed problems is given. This survey is a continuation of work performed …
An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
P Das - Numerical Algorithms, 2019 - Springer
The present work considers a nonlinear system of singularly perturbed delay differential
equation whose each component of the solution has multiple layers. Here, we provide an a …
equation whose each component of the solution has multiple layers. Here, we provide an a …
[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 …
boundary value problems with a left layer. The method is proposed based on the …
[HTML][HTML] A finite-difference method for a singularly perturbed delay integro-differential equation
We consider the singularly perturbed initial value problem for a linear first order Volterra
integro-differential equation with delay. Our purpose is to construct and analyse a numerical …
integro-differential equation with delay. Our purpose is to construct and analyse a numerical …
A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations
The purpose of this paper is to present a uniform finite difference method for numerical
solution of a initial value problem for semilinear second order singularly perturbed delay …
solution of a initial value problem for semilinear second order singularly perturbed delay …
Parameter-robust numerical scheme for time-dependent singularly perturbed reaction–diffusion problem with large delay
K Bansal, KK Sharma - Numerical Functional Analysis and …, 2018 - Taylor & Francis
This work presents the development of numerical scheme for second-order time-dependent
singularly perturbed reaction-diffusion problem with large delay in the undifferentiated term …
singularly perturbed reaction-diffusion problem with large delay in the undifferentiated term …
[HTML][HTML] Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra
integro-differential equation was considered. By the method of integral identities with the use …
integro-differential equation was considered. By the method of integral identities with the use …
Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method
S Nicaise, C Xenophontos - Computational Methods in Applied …, 2013 - degruyter.com
We consider the finite element approximation of the solution to a singularly perturbed
second order differential equation with a constant delay. The boundary value problem can …
second order differential equation with a constant delay. The boundary value problem can …
[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 …
singularly perturbed problems Page 1 http://www.aimspress.com/journal/Math AIMS …
A fitted approximate method for a Volterra delay-integro-differential equation with initial layer
This study is concerned with the finite-difference solution of singularly perturbed initial value
problem for a linear first order Volterra integro-differential equation with delay. The method is …
problem for a linear first order Volterra integro-differential equation with delay. The method is …