Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method-Reference-Cited by-同舟云学术

Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method

Published:2012 Issue: Volume:2012 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Doğan Nurettin¹,Ertürk Vedat Suat²,Akın Ömer³

Affiliation:

1. Department of Computer Engineering, Faculty of Technology, Gazi University, Teknikokullar, 06500 Ankara, Turkey

2. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139 Samsun, Turkey

3. Department of Mathematics, Faculty of Arts and Sciences, TOBB University of Economics and Technology, Söğütözü, 06530 Ankara, Turkey

Abstract

Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient for solving a large number of linear singularly perturbed two-point boundary value problems with high accuracy.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2012/579431.pdf

Reference24 articles.

1. International Series in Pure and Applied Mathematics,1978

2. Applied Mathematical Sciences,1981

3. Applied Mathematics and Mechanics, Vol. 14,1974

4. The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems

5. Using reproducing kernel for solving a class of singularly perturbed problems

Cited by 13 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. Singularly perturbed fuzzy initial value problems;Expert Systems with Applications;2023-08

2. Numerical and Approximate Analytic Solutions of Second- order Nonlinear Boundary Value Problems;Journal of Marine Science and Technology;2022-12-08

3. Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients;Mathematics;2022-08-05

4. Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems;Symmetry;2022-04-08

5. Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems;Mathematics and Computers in Simulation;2022-03