New approach for solving a class of doubly singular two-point boundary value problems using Adomian decomposition method
type: Item
instance of: scholarly article
title: New approach for solving a class of doubly singular two-point boundary value problems using Adomian decomposition method
zbMATH Open document ID: 1268.65099
DOI: 10.1155/2012/541083
author: Randhir Singh
author: Jitendra Kumar
author: Gnaneshwar Nelakanti
published in: Advances in Numerical Analysis
publication date: 2013-06-07T00:00:00Z
review text: Summary: We propose two new modified recursive schemes for solving a class of doubly singular two-point boundary value problems. These schemes are based on Adomian decomposition method (ADM) and new proposed integral operators. We use all the boundary conditions to derive an integral equation before establishing the recursive schemes for the solution components. Thus we develop recursive schemes without any undetermined coefficients while computing successive solution components, whereas several previous recursive schemes have done so. This modification also avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients with multiple roots, which is required to complete the calculation of the solution by several earlier modified recursion schemes using the ADM. The approximate solution is computed in the form of series with easily calculable components. The effectiveness of the proposed approach is tested by considering four examples and results are compared with previous known results.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 6171658
zbMATH Keywords: numerical examples
zbMATH Keywords: doubly singular two-point boundary value problems
zbMATH Keywords: Adomian decomposition method
Wikidata QID: Q58698664
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/541083
OpenAlex ID: W2041364770
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DBLP publication ID: journals/ana/SinghKN12
description: scientific article; zbMATH DE number 6171658