Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method

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2006

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Abstract

In this paper, the definitions and operations of the differential transform method [J.K. Zhou, Differential Transformation and Its Applications for Electrical Circuits, Huarjung University Press, Wuuhahn, China, 1986] and Adomian's decomposition method which is given by George Adomian for approximate solution of linear and non-linear differential equations are expressed [G. Adomian, Convergent series solution of nonlinear equation, Comput. Appl. Math. 11 (1984) 113-117]. Different partial differential equations are solved under the view of these methods and compared with the approximate solution and analytic solution. At the end, these solutions are illustrated by tables and figures. © 2005 Elsevier Inc. All rights reserved.

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Approximation theory , Mathematical models , Mathematical transformations , Networks (circuits) , Nonlinear equations , Decomposition method , Differential transform method , Initial value problem , Partial differential equation , Differential equations

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19601

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