Solving a class of singular two-point boundary value problems using new modified decomposition method
type: Item
instance of: scholarly article
title: Solving a class of singular two-point boundary value problems using new modified decomposition method
zbMATH Open document ID: 1268.65098
DOI: 10.1155/2013/262863
author: Randhir Singh
author: Jitendra Kumar
published in: ISRN Computational Mathematics
publication date: 2013-07-25T00:00:00Z
review text: Summary: We introduce an effective methodology for solving a class of linear as well as nonlinear singular two-point boundary value problems. This methodology is based on a modification of the Adomian decomposition method (ADM) and a new two-fold integral operator. We use all the boundary conditions to derive an integral equation before establishing the recursive scheme for the solution components of solution. Thus, we develop modified recursive scheme without any undetermined coefficients while computing the successive solution components. This modification also avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients. However, most of earlier recursive schemes using ADM do require computation of undetermined coefficients. The approximate solution is obtained in the form of series with easily calculable components. Numerical examples are included to demonstrate the accuracy, applicability, and generality of the present technique. The results reveal that the method is very effective, straightforward, and simple.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 6191055
Wikidata QID: Q58994598
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/262863
OpenAlex ID: W2032091851
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description: scientific article; zbMATH DE number 6191055