期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 185, 期 4, 页码 1282-1289出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2014.01.002
关键词
Nonlinear singular boundary value problem; Adomian decomposition method; Modified Adomian decomposition method; Green's function; Series solutions; Emden-Fowler equation
资金
- Council of Scientific and Industrial Research (CSIR), New Delhi, India
In this work, a new technique based on Green's function and the Adomian decomposition method (ADM) for solving nonlinear singular boundary value problems (SBVPs) is proposed. The technique relies on constructing Green's function before establishing the recursive scheme for the solution components. In contrast to the existing recursive schemes based on the ADM, the proposed technique avoids solving a sequence of transcendental equations for the undetermined coefficients. It approximates the solution in the form of a series with easily computable components. Additionally, the convergence analysis and the error estimate of the proposed method are supplemented. The reliability and efficiency of the proposed method are demonstrated by several numerical examples. The numerical results reveal that the proposed method is very efficient and accurate. (C) 2014 Elsevier B.V. All rights reserved.
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