Adomian decomposition method with modified Bernstein polynomials for solving ordinary and partial differential equations
type: Item
instance of: scholarly article
title: Adomian decomposition method with modified Bernstein polynomials for solving ordinary and partial differential equations
zbMATH Open document ID: 1437.65087
DOI: 10.1155/2018/1803107
author: Ahmed Farooq Qasim
author: Ekhlass S. AL-Rawi
published in: Journal of Applied Mathematics
publication date: 2019-05-07T00:00:00Z
review text: Summary: In this paper, we used Bernstein polynomials to modify the Adomian decomposition method which can be used to solve linear and nonlinear equations. This scheme is tested for four examples from ordinary and partial differential equations; furthermore, the obtained results demonstrate reliability and activity of the proposed technique. This strategy gives a precise and productive system in comparison with other traditional techniques and the arrangements methodology is extremely straightforward and few emphasis prompts high exact solution. The numerical outcomes showed that the acquired estimated solutions were in appropriate concurrence with the correct solution.
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 7051355
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1803107
OpenAlex ID: W2896380960
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Wikidata QID: Q129103636
description: scientific article; zbMATH DE number 7051355