Numerical solution of two dimensional linear Volterra İntegral Equations of the second kind by the Tau Method with an Error Estimation
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Two dimensional linear Volterra integral equations, Operational Tau method
Kaynak
International Conference on Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
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.
