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2014 Modified Differential Transform Method for Two Singular Boundary Values Problems
Yinwei Lin, Hsiang-Wen Tang, Cha’o-Kuang Chen
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/138087

Abstract

This paper deals with the two singular boundary values problems of second order. Two singular points are both boundary values points of the differential equation. The numerical solutions are developed by modified differential transform method (DTM) for expanded point. Linear and nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, we give the convergence of this new method.

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Yinwei Lin. Hsiang-Wen Tang. Cha’o-Kuang Chen. "Modified Differential Transform Method for Two Singular Boundary Values Problems." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/138087

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010550
MathSciNet: MR3166749
Digital Object Identifier: 10.1155/2014/138087

Rights: Copyright © 2014 Hindawi

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