Abstract and Applied Analysis

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

Yu-Lan Wang, Hao Yu, Fu-Gui Tan, and Shanshan Qu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 615840, 5 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279720

Digital Object Identifier
doi:10.1155/2014/615840

Mathematical Reviews number (MathSciNet)
MR3226216

Zentralblatt MATH identifier
07022731

Citation

Wang, Yu-Lan; Yu, Hao; Tan, Fu-Gui; Qu, Shanshan. Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 615840, 5 pages. doi:10.1155/2014/615840. https://projecteuclid.org/euclid.aaa/1412279720


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