A Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications

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dc.authoridGuran, Liliana/0000-0002-8304-1574
dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorAkguel, Ali
dc.contributor.authorGuran, Liliana
dc.contributor.authorBota, Monica-Felicia
dc.date.accessioned2024-12-24T19:33:32Z
dc.date.available2024-12-24T19:33:32Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy integral transform method (AHITM), for the approximate solution of wave problems in multi-dimensional orders. The Aboodh integral transform (AIT) removes the restriction of variables in the recurrence relation, whereas the homotopy perturbation method (HPM) derives the successive iterations using the initial conditions. The convergence analysis is provided to study a wave equation with multiple dimensions. Some computational applications are considered to show the efficiency of this scheme. Graphical representation between the approximate and the exact solution predicts the high rate of convergence of this approach.
dc.identifier.doi10.3390/axioms11120665
dc.identifier.issn2075-1680
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85144640929
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.3390/axioms11120665
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8189
dc.identifier.volume11
dc.identifier.wosWOS:000902216900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofAxioms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectAboodh integral transform
dc.subjecthomotopy perturbation method
dc.subjectwave problems
dc.subjectseries results
dc.titleA Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications
dc.typeArticle

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