Numerical implementation of differential transformations method for integro-differential equations

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 integr...

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Bibliographic Details
Published in:International journal of computer mathematics 2010-10, Vol.87 (12), p.2786-2797
Main Author: Ozkan, Ozan
Format: Article
Language:English
Subjects:
adaptive technique
Algebra
Computer simulation
Differential equations
differential transformation
Integral equations
integro-differential equations
Mathematical analysis
Mathematical models
Mathematical problems
Nonlinearity
numerical and approxime solutions
Transformations
Transforms
Truncation errors
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Summary: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160902795627