APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

Authors

1 Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111

2 Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111

Abstract

In this paper, first the properties of one and two-dimensional differential transforms are presented.
Next, by using the idea of differential transform, we will present a method to find an approximate solution for
a Volterra integro-partial differential equations. This method can be easily applied to many linear and
nonlinear problems and is capable of reducing computational works. In some particular cases, the exact
solution may be achieved. Finally, the convergence and efficiency of this method will be discussed with some
examples which indicate the ability and accuracy of the method.

Keywords

Iranian Journal of Science
Volume 34, Issue 1 - Serial Number 1
January and February 2010
Pages 59-70

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