Application of asymptotic homotopy perturbation method to fractional order partial differential equation

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dc.contributor.authorHaji Gul
dc.contributor.authorSajjad Ali
dc.contributor.authorKamal Shah
dc.contributor.authorShakoor Muhammad
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorSaowaluck Chasreechai
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
dc.description.abstractIn this article, we introduce a new algorithm-based scheme titled asymptotic homotopy perturbation method (AHPM) for simulation purposes of non-linear and linear differential equations of non-integer and integer orders. AHPM is extended for numerical treatment to the approximate solution of one of the important fractional-order two-dimensional Helmholtz equations and some of its cases . For probation and illustrative purposes, we have compared the AHPM solutions to the solutions from another existing method as well as the exact solutions of the considered problems. Moreover, it is observed that the symmetry or asymmetry of the solution of considered problems is invariant under the homotopy definition. Error estimates for solutions are also provided. The approximate solutions of AHPM are tabulated and plotted, which indicates that AHPM is effective and explicit. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationSymmetry
dc.identifier.doi10.3390/sym13112215
dc.identifier.issn20738994
dc.identifier.scopus2-s2.0-85119965779
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4673
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectAHPM
dc.subjectAsymptotic homotopy perturbation method
dc.subjectCaputo derivative
dc.subjectFractional order partial differential equation
dc.titleApplication of asymptotic homotopy perturbation method to fractional order partial differential equation
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85119965779&doi=10.3390%2fsym13112215&partnerID=40&md5=2cc4f1b5d799b00033a09fe563be5c02
oaire.citation.issue11
oaire.citation.volume13
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