New modified Adomian decomposition recursion schemes for solving certain types of nonlinear fractional two-point boundary value problems
type: Item
instance of: scholarly article
title: New modified Adomian decomposition recursion schemes for solving certain types of nonlinear fractional two-point boundary value problems
zbMATH Open document ID: 1476.65158
DOI: 10.1155/2017/5742965
author: Sekson Sirisubtawee
author: Supaporn Kaewta
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: We apply new modified recursion schemes obtained by the Adomian decomposition method (ADM) to analytically solve specific types of two-point boundary value problems for nonlinear fractional order ordinary and partial differential equations. The new modified recursion schemes, which sometimes utilize the technique of Duan's convergence parameter, are derived using the Duan-Rach modified ADM. The Duan-Rach modified ADM employs all of the given boundary conditions to compute the remaining unknown constants of integration, which are then embedded in the integral solution form before constructing recursion schemes for the solution components. New modified recursion schemes obtained by the method are generated in order to analytically solve nonlinear fractional order boundary value problems with a variety of two-point boundary conditions such as Robin and separated boundary conditions. Some numerical examples of such problems are demonstrated graphically. In addition, the maximal errors \((\mathrm{ME}_n)\) or the error remainder functions \((\mathrm{ER}_n(x))\) of each problem are calculated.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 6873350
Wikidata QID: Q59144861
describes a project that uses: ADMP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5742965
OpenAlex ID: W2734702777
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DBLP publication ID: journals/ijmmsc/SirisubtaweeK17
description: scientific article; zbMATH DE number 6873350