Numerical solution of two dimensional linear Volterra İntegral Equations of the second kind by the Tau Method with an Error Estimation
dc.contributor.author | Tari, A. | |
dc.contributor.author | Shahmorad, S. | |
dc.date.accessioned | 2024-07-12T20:52:01Z | |
dc.date.available | 2024-07-12T20:52:01Z | |
dc.date.issued | 2009 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this paper, a general form of numerical approximate solution of two dimensional linear Volterra integral equations of the second kind, which here in later TDLVIE, is discussed. It is formulated for using the operational Tau method with standard base to convert the integral part of given integral equation, to its matrix representation. A brief introduction of developments of the Tau method is given in section 1, existence and uniqueness of solution of TDLVIE is discussed in section 2, converting TDLVIE to a system of linear algebraic equations has been done in section 3 and in section 4 some numerical examples are given to demonstrate efficiency and accuracy of the presented method. | en_US |
dc.identifier.citation | Tari, A. ve Shahmorad, S. (2009). Numerical solution of two dimensional linear Volterra İntegral Equations of the second kind by the Tau Method with an Error Estimation. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 55-56. | en_US |
dc.identifier.endpage | 56 | en_US |
dc.identifier.isbn | 9.78605E+12 | |
dc.identifier.startpage | 55 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2514 | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference on Mathematical Sciences | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY07898 | |
dc.subject | Two dimensional linear Volterra integral equations | en_US |
dc.subject | Operational Tau method | en_US |
dc.title | Numerical solution of two dimensional linear Volterra İntegral Equations of the second kind by the Tau Method with an Error Estimation | en_US |
dc.type | Conference Object | |
dspace.entity.type | Publication |