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2014 Solving Singularly Perturbed Multipantograph Delay Equations Based on the Reproducing Kernel Method
F. Z. Geng, S. P. Qian
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/794716

Abstract

A numerical method is presented for solving the singularly perturbed multipantograph delay equations with a boundary layer at one end point. The original problem is reduced to boundary layer and regular domain problems. The regular domain problem is solved by combining the asymptotic expansion and the reproducing kernel method (RKM). The boundary layer problem is treated by the method of scaling and the RKM. Two numerical examples are provided to illustrate the effectiveness of the present method. The results from the numerical example show that the present method can provide very accurate analytical approximate solutions.

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F. Z. Geng. S. P. Qian. "Solving Singularly Perturbed Multipantograph Delay Equations Based on the Reproducing Kernel Method." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/794716

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023086
MathSciNet: MR3176771
Digital Object Identifier: 10.1155/2014/794716

Rights: Copyright © 2014 Hindawi

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