Least square homotopy perturbation method for ordinary differential equations
type: Item
instance of: scholarly article
title: Least square homotopy perturbation method for ordinary differential equations
zbMATH Open document ID: 1477.65116
DOI: 10.1155/2021/7059194
author: Mubashir Qayyum
author: Imbsat Oscar
published in: Journal of Mathematics
publication date: 2021-11-24T00:00:00Z
review text: Summary: In this study, a new modification of the homotopy perturbation method (HPM) is introduced for various order boundary value problems (BVPs). In this modification, HPM is hybrid with least square optimizer and named as the least square homotopy perturbation method (LSHPM). The proposed scheme is tested against various linear and nonlinear BVPs (second to seventh order DEs). Validity of the obtained solutions is confirmed by finding absolute errors. To analyze the efficiency of the proposed scheme, tested problems have also been solved through HPM and results are compared with LSHPM. Furthermore, obtained results are also compared with other numerical schemes available in literature. Analysis reveals that LSHPM is a consistent and effective scheme which can be used for more complex BVPs in science and engineering.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 7433092
Wikidata QID: Q115243620
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7059194
OpenAlex ID: W3204048649
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description: scientific article; zbMATH DE number 7433092