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A comparison of Semi-analytical Methods for Solving Partial Integro- Differential Equations

Mathematical Sciences Letters • 2012
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Publication Information
Authors AMAL F. Soliman; M. S. El-Azab; Mohamed El-Gamel; A M.A. EL-SAYED
Keywords PIDE; Partial integro-differential equations; Variational iteration method; homotopy perturbation method.
Journal Mathematical Sciences Letters
Publisher Not Available
Volume 1
Issue Not Available
Pages 1-8
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper, we apply the Variational iteration method and homotopy perturbation method for
solving linear and nonlinear partial integro-differential equation (PIDE). The efficiency and accuracy of
the methods is validated by its application to several distinct test problems which have exact solutions.
The results of applying these methods show the simplicity and efficiency of these methods.