A new kind of double Chebyshev polynomial approximation on unbounded domains

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dc.contributor.authorKoc, Ayse Betul
dc.contributor.authorKurnaz, Aydin
dc.date.accessioned2020-03-26T18:41:01Z
dc.date.available2020-03-26T18:41:01Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this study, a new solution scheme for the partial differential equations with variable coefficients defined on a large domain, especially including infinities, has been investigated. For this purpose, a spectral basis, called exponential Chebyshev (EC) polynomials, has been extended to a new kind of double Chebyshev polynomials. Many outstanding properties of those polynomials have been shown. The applicability and efficiency have been verified on an illustrative example.en_US
dc.description.sponsorshipResearch Projects Center (BAP) of Selcuk UniversitySelcuk University; Selcuk UniversitySelcuk University; TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThis study was supported by the Research Projects Center (BAP) of Selcuk University. The authors would like to thank the editor and referees for their valuable comments and remarks which led to a great improvement of the article. Also, ABK and AK would like to thank the Selcuk University and TUBITAK for their support. We note here that this study was presented orally at the International Conference on Applied Analysis and Algebra (ICAAA 2012), Istanbul, 20-24 June, (2012).en_US
dc.identifier.doi10.1186/1687-2770-2013-10en_US
dc.identifier.issn1687-2770en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://dx.doi.org/10.1186/1687-2770-2013-10
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29169
dc.identifier.wosWOS:000315343000002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSPRINGEROPENen_US
dc.relation.ispartofBOUNDARY VALUE PROBLEMSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectpartial differential equationsen_US
dc.subjectpseudospectral-collocation methoden_US
dc.subjectmatrix methoden_US
dc.subjectunbounded domainsen_US
dc.titleA new kind of double Chebyshev polynomial approximation on unbounded domainsen_US
dc.typeArticleen_US

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