Fitted Finite Difference Method for Third Order Singularly Perturbed Delay Differential Equations of Convection Diffusion Type-Reference-Cited by-同舟云学术

Fitted Finite Difference Method for Third Order Singularly Perturbed Delay Differential Equations of Convection Diffusion Type

Published:2019-05-28 Issue:05 Volume:16 Page:1840007
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Mahendran R.¹,Subburayan V.¹

Affiliation:

1. Department of Mathematics, SRM University, Kattankulathur, Kancheepuram, Tamilnadu 603203, India

Abstract

In this paper, a fitted finite difference method on Shishkin mesh is suggested to solve a class of third order singularly perturbed boundary value problems for ordinary delay differential equations of convection-diffusion type. Numerical solution converges uniformly to the exact solution. The order of convergence of the numerical method is almost first order. Numerical results are provided to illustrate the theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876218400078

Reference15 articles.

1. Numerical method for a singularly perturbed convection–diffusion problem with delay

2. Asymptotic stability of a mechanical robotics model with damping and delay

3. Robust Computational Techniques for Boundary Layers

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Computational methods for singularly perturbed differential equations with advanced argument of convection-diffusion type;AIMS Mathematics;2024

2. A Novel Fitted Method for a Class of Singularly Perturbed Differential-Difference Equations with Small Delay Exhibiting Twin Layer or Oscillatory Behaviour;Computational Mathematics and Mathematical Physics;2023-12

3. A robust numerical scheme for singularly perturbed differential equations with spatio-temporal delays;Frontiers in Applied Mathematics and Statistics;2023-03-24

4. Fitted mesh method for singularly perturbed fourth order differential equation of convection diffusion type with integral boundary condition;AIMS Mathematics;2023

5. A Fitted Numerical Method for Interior-Layer Parabolic Convection–Diffusion Problems;International Journal of Computational Methods;2022-07-26