FUNCTIONAL AND MATRIX APPROXIMATION OF NUMERICAL SOLUTION OF HAAR WAVELET

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dc.contributor.authorMert, Oya
dc.contributor.authorBakir, Yasemin
dc.date.accessioned2024-10-29T17:59:52Z
dc.date.available2024-10-29T17:59:52Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractIn this article, a uniform Haar wavelet approach is devised to numerically solve the differential equations. The uniform Haar wavelet coefficients are generated by employing collocation points. The generalized approach for function and matrix approximation using Haar wavelets is proposed. This study aims to decide which method is more useful by reflecting on the differences between the two methods. Also, the application of Haar wavelets to the solution of a first and second-order ODE is described in this research. To assess its applicability and efficiency, two test problems are used. The findings obtained are compared to those obtained using the function and matrix approximation methods. For numerically solving first and second-order ODEs, the Haar wavelet methodology gives a more reliable and exact method. By estimating error norms for various problems, the performance and accuracy of the method have been shown.
dc.identifier.doi10.7546/CRABS.2024.06.01
dc.identifier.endpage800
dc.identifier.issn1310-1331
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85197766505
dc.identifier.scopusqualityQ3
dc.identifier.startpage793
dc.identifier.urihttps://doi.org/10.7546/CRABS.2024.06.01
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14860
dc.identifier.volume77
dc.identifier.wosWOS:001260789600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPubl House Bulgarian Acad Sci
dc.relation.ispartofComptes Rendus De L Academie Bulgare Des Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectcollocation points
dc.subjectHaar wavelet method
dc.subjectnumerical methods
dc.titleFUNCTIONAL AND MATRIX APPROXIMATION OF NUMERICAL SOLUTION OF HAAR WAVELET
dc.typeArticle

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