Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method-Reference-Cited by-同舟云学术

Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Wang Yu-Lan¹,Yu Hao¹,Tan Fu-Gui²,Qu Shanshan¹

Affiliation:

1. Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China

2. Jining Teachers College, Wulanchabu, Inner Mongolia 012000, China

Abstract

We give the analytical solution and the series expansion solution of a class of singularly perturbed partial differential equation (SPPDE) by combining traditional perturbation method (PM) and reproducing kernel method (RKM). The numerical example is studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/615840.pdf

Reference23 articles.

1. Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term

2. Solving Singularly Perturbed Multipantograph Delay Equations Based on the Reproducing Kernel Method

3. Splines difference methods for a singular perturbation problem

4. A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations

5. High-order finite-difference techniques for linear singular perturbation boundary value problems

Cited by 2 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. The Numerical Solution of Singularly Perturbed Nonlinear Partial Differential Equations in Three Space Variables: The Adaptive Explicit Inverse Preconditioning Approach;Modelling and Simulation in Engineering;2019-01-02

2. New approach for the Fornberg–Whitham type equations;Journal of Computational and Applied Mathematics;2017-03