Numerical solution of Fisher's equation through the application of Haar wavelet collocation method

Basit Öğe Kaydı
dc.contributor.authorZaman, Sakina Sher
dc.contributor.authorAmin, Rohul
dc.contributor.authorHaider, Nadeem
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:28:13Z
dc.date.available2024-12-24T19:28:13Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis research article presents algorithm that employs the Haar wavelet collocation method (HWCM) to solve the convection diffusion reaction (CDR) model, specifically Fisher's equation (F.E.). The proposed method is suitable for addressing both linear and nonlinear problems. The Haar wavelet method is a numerical technique that utilizes wavelet basis functions to provide an approximation of the solution for the Fisher's equations. Additionally, a forward difference scheme is utilized to approximate the time derivative while the highest order space derivative is replaced by Haar function. The performance of the technique is demonstrated through some examples investigated in this study. The maximum absolute errors are computed for varying numbers of collocation points. The HWCM provides superior accuracy, flexibility, convenience, and computational efficiency compared to alternative methods.
dc.identifier.doi10.1080/10407790.2024.2348129
dc.identifier.issn1040-7790
dc.identifier.issn1521-0626
dc.identifier.scopus2-s2.0-85192714777
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/10407790.2024.2348129
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6969
dc.identifier.wosWOS:001217825600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofNumerical Heat Transfer Part B-Fundamentals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectCDR model
dc.subjectFisher's equation
dc.subjectGauss elimination method
dc.subjectHaar wavelet collocation method
dc.subjectlinearization
dc.titleNumerical solution of Fisher's equation through the application of Haar wavelet collocation method
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu