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Dr. amal foad abdelaziz soliman :: Publications:

Title:
A comparison of Semi-analytical Methods for Solving Partial Integro- Differential Equations
Authors: AMAL F. Soliman; M. S. El-Azab; Mohamed El-Gamel; A M.A. EL-SAYED
Year: 2012
Keywords: PIDE; Partial integro-differential equations; Variational iteration method; homotopy perturbation method.
Journal: Mathematical Sciences Letters
Volume: 1
Issue: Not Available
Pages: 1-8
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper amal foad abdelaziz soliman_p5.pdf
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.

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