Efficient Finite Difference Approaches for Solving Initial Boundary Value Problems in Helmholtz Partial Differential Equations

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dc.authoridFaraj, Bawar/0000-0002-7543-2890
dc.authoridHilmi, Hozan/0009-0007-5226-180X
dc.contributor.authorFaraj, Bawar Mohammed
dc.contributor.authorRahman, Shnyar Karim
dc.contributor.authorMohammed, Deni Adnan
dc.contributor.authorHilmi, Hozan Dlshad
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:56Z
dc.date.available2024-12-24T19:33:56Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study presents numerical solutions for initial boundary value problems of homogeneous and non-homogeneous Helmholtz equations using first- and second-order difference schemes. The stability of these methods is rigorously analyzed, ensuring their reliability and convergence for a wide range of problem instances. The proposed schemes' robustness and applicability are demonstrated through several examples, accompanied by an error analysis table and illustrative graphs that visually represent the accuracy of the solutions obtained. The results confirm the effectiveness and efficiency of the proposed schemes, making them valuable tools for solving Helmholtz equations in practical applications.
dc.identifier.doi10.37256/cm.4320232735
dc.identifier.issn2705-1064
dc.identifier.issn2705-1056
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85174250896
dc.identifier.scopusqualityQ4
dc.identifier.urihttps://doi.org/10.37256/cm.4320232735
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8327
dc.identifier.volume4
dc.identifier.wosWOS:001062150900009
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversal Wiser Publisher
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHelmholtz equation
dc.subjectinitial boundary value problems (IBVP)
dc.subjectfinite difference scheme
dc.subjectcomputational techniques
dc.subjectstability analysis
dc.titleEfficient Finite Difference Approaches for Solving Initial Boundary Value Problems in Helmholtz Partial Differential Equations
dc.typeArticle

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