Numerical Implementation of Differential Transformations Method for Integro-Differential Equations

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Küçük Resim

Tarih

2010

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