ENHANCING SOLUTIONS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS VIA COMBINED LAPLACE TRANSFORM AND REPRODUCING KERNEL METHOD

Basit Öğe Kaydı
dc.contributor.authorAkgül, Ali
dc.contributor.authorAttia, Nourhane
dc.date.accessioned2024-12-24T19:10:22Z
dc.date.available2024-12-24T19:10:22Z
dc.date.issued2025
dc.departmentSiirt Üniversitesi
dc.description.abstractOrdinary differential equations (ODEs) describe diverse phenomena in engineering and physics, such as electrical networks, oscillating systems, satellite orbits, and chemical reactions. Solving these equations, particularly the non-linear ones, is often challenging due to their complexity. This study aims to innovate by integrating the Laplace transform with the reproducing kernel Hilbert space method (RKHSM), introducing an enhanced approach that surpasses classical RKHSM. The combined Laplace-RKHSM method simplifies the original non-linear ODEs, allowing for the construction of novel numerical solutions. These solutions are systematically obtained in series form, providing both analytic and approximate results. The effectiveness and efficacy of the Laplace-RKHSM are demonstrated through three applications, each showcasing the method’s superior performance in terms of accuracy and computational efficiency. This new approach not only enhances the existing RKHSM but also broadens its applicability to a wider range of non-linear problems in physics and engineering. © 2025, Wilmington Scientific Publisher. All rights reserved.
dc.identifier.doi10.11948/20240078
dc.identifier.endpage244
dc.identifier.issn2156-907X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85204960082
dc.identifier.scopusqualityQ1
dc.identifier.startpage226
dc.identifier.urihttps://doi.org10.11948/20240078
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4081
dc.identifier.volume15
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWilmington Scientific Publisher
dc.relation.ispartofJournal of Applied Analysis and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectLaplace transformation
dc.subjectnon-linear ODEs
dc.subjectnumerical approximation
dc.subjectReproducing kernel method
dc.titleENHANCING SOLUTIONS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS VIA COMBINED LAPLACE TRANSFORM AND REPRODUCING KERNEL METHOD
dc.typeArticle

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
WOS İndeksli Yayınlar Koleksiyonu