Sinc approximation of solution of integro-differential equation
Küçük Resim Yok
Tarih
2019
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
Many mathematical models of complex processes may be posed as integro-differential equations. Different numerical methods have been proposed and developed in recent years, such as quadrature method, collocation method, Galerkin method, expansion method and product-integration method. The application of the Sinc-Galerkin method to an approximate solution of integro-differential equations were discussed in this study. The method is based on approximating functions and their derivatives by using the Whittaker cardinal function in order to determine the approximate solutions. Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used and the results determined from the method are compared with the exact solutions. The results are illustrated both in table and graphically to show the rapid convergence and exceptional accuracy of the method.
Açıklama
Anahtar Kelimeler
Sinc-galerkin methods, Whittaker cardinal function, Conform application, Integro-differential equations
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Belakroum, D. ve Belakroum, K. (2019). Sinc approximation of solution of integro-differential equation. International Conference of Mathematical Sciences (ICMS 2019). s. 128.
