Numerical Implementation of Differential Transformations Method for Integro-Differential Equations
Yükleniyor...
Dosyalar
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Differential transformation (DT) is one of the numeric methods for solving differential equations. The advantage of this method is to transform the differential equation into algebraic ones. The aim of this article is to present a comparative study of the DT for solving of linear or nonlinear integro-differential equations. A remarkable practical feature of this method is its ability to solve integro-differential equations efficiently. This method also enable us to control truncation error by adjusting the step size used in the numerical scheme. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
Açıklama
Anahtar Kelimeler
differential transformation, integro-differential equations, numerical and approxime solutions, adaptive technique
Kaynak
International Journal of Computer Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
87
Sayı
12
Künye
Özkan, O., (2010). Numerical Implementation of Differential Transformations Method for Integro-Differential Equations. International Journal of Computer Mathematics, 87(12). Doi: 10.1080/00207160902795627