Modified Differential Transform Method for Two Singular Boundary Values Problems | Zendy

Yinwei Lin | Zendy; Hsiang-Wen Tang | Zendy; Cha’o-Kuang Chen | Zendy

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Modified Differential Transform Method for Two Singular Boundary Values Problems

Author(s) -

Yinwei Lin,

Hsiang-Wen Tang,

Cha’o-Kuang Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/138087

Subject(s) - mathematics , singular solution , mathematical analysis , singular point of a curve , boundary value problem , ordinary differential equation , convergence (economics) , singular boundary method , boundary (topology) , regular singular point , differential equation , nonlinear system , boundary element method , finite element method , physics , quantum mechanics , economics , thermodynamics , economic growth

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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