Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems
dc.contributor.author | Mukhtarov, Okan Sh. | |
dc.contributor.author | Yücel, Merve | |
dc.contributor.author | Aydemir, Kadriye | |
dc.date.accessioned | 2021-11-01T15:05:14Z | |
dc.date.available | 2021-11-01T15:05:14Z | |
dc.date.issued | 2020 | |
dc.department | [Belirlenecek] | |
dc.description.abstract | In this paper, we propose a new approximation method (we shall call this method as alpha-parameterized differential transform method), which differs from the traditional differential transform method in calculating the coefficients of Taylor polynomials. Numerical examples are presented to illustrate the efficiency and reliability of our own method. Namely, two Sturm-Liouville problems are solved by the present alpha-parameterized differential transform method, and the obtained results are compared with those obtained by the classical DTM and by the analytical method. The result reveals that alpha-parameterized differential transform method is a simple and effective numerical algorithm. | |
dc.description.sponsorship | Amasya UniversityAmasya University [FMB-BAP 19-0391] | en_US |
dc.description.sponsorship | This work was supported by the research fund of Amasya University under grant no FMB-BAP 19-0391. | en_US |
dc.identifier.doi | 10.1155/2020/8019460 | |
dc.identifier.issn | 1076-2787 | |
dc.identifier.issn | 1099-0526 | |
dc.identifier.scopus | 2-s2.0-85085504108 | |
dc.identifier.scopusquality | Q1 | |
dc.identifier.uri | https://doi.org/10.1155/2020/8019460 | |
dc.identifier.uri | https://hdl.handle.net/11491/7189 | |
dc.identifier.volume | 2020 | en_US |
dc.identifier.wos | WOS:000537094500006 | |
dc.identifier.wosquality | Q2 | |
dc.indekslendigikaynak | Web of Science | |
dc.indekslendigikaynak | Scopus | |
dc.institutionauthor | Yücel, Merve | |
dc.language.iso | en | |
dc.publisher | Wiley-Hindawi | |
dc.relation.ispartof | Complexity | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | [No Keywords] | en_US |
dc.title | Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems | |
dc.type | Article |