Adomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations

Basit Öğe Kaydı
dc.contributor.authorAudu, Khadeejah James
dc.contributor.authorLinus, Lawrence
dc.contributor.authorAmuda, Yahaya Yusuph
dc.contributor.authorAkande, Sıkırulaı
dc.date.accessioned2026-02-08T15:04:49Z
dc.date.available2026-02-08T15:04:49Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractPartial Differential Equations (PDE) help model problems in science and engineering, given their abilities to capture complex phenomena compared to Ordinary Differential Equations. This paper aims to investigate two semi-analytical techniques called the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM), how these methods can be used in practice, and to make a comparative study of the two methods for solving linear and nonlinear PDEs. The efficiency of ADM and VIM is assessed by comparing their errors relative to the exact solutions of the examined numerical experiments. The results obtained from the numerical experiments revealed that ADM proved to be a more efficient and accurate method for solving PDEs than VIM.
dc.identifier.doi10.38088/jise.1563076
dc.identifier.endpage53
dc.identifier.issn2602-4217
dc.identifier.issue1
dc.identifier.startpage39
dc.identifier.urihttps://doi.org/10.38088/jise.1563076
dc.identifier.urihttps://hdl.handle.net/20.500.12885/4228
dc.identifier.volume9
dc.language.isoen
dc.publisherBursa Teknik Üniversitesi
dc.relation.ispartofJournal of Innovative Science and Engineering
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260207
dc.subjectNumerical Analysis
dc.subjectSayısal Analiz
dc.titleAdomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations
dc.typeArticle

Dosyalar

Koleksiyon

Journal of Innovative Science and Engineering Koleksiyonu