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Modified Differential Transform Method for Two Singular Boundary Values Problems

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  • Yinwei Lin
  • Hsiang-Wen Tang
  • Cha’o-Kuang Chen

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.

Suggested Citation

  • Yinwei Lin & Hsiang-Wen Tang & Cha’o-Kuang Chen, 2014. "Modified Differential Transform Method for Two Singular Boundary Values Problems," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnljam:138087
    DOI: 10.1155/2014/138087
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