FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel
Applied and Computational Mathematics
Volume 4, Issue 6, December 2015, Pages: 445-451
Received: Sep. 25, 2015; Accepted: Oct. 7, 2015; Published: Oct. 23, 2015
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Authors
Jafar Biazar, Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
Mohammad Ali Asadi, Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
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Abstract
Finite Difference Method and Radial Basis Functions are applied to solve partial integro-differential equations with a weakly singular kernel. The product trapezoidal method is used to compute singular integrals that appear in the discretization process. Different RBFs are implemented and satisfactory results are shown the ability and the usefulness of the proposed method.
Keywords
Partial Integro-Differential Equations (PIDE), Weakly Singular Kernel, Radial Basis Functions (RBF), Finite Difference Method (FDM), Product Trapezoidal Method
To cite this article
Jafar Biazar, Mohammad Ali Asadi, FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel, Applied and Computational Mathematics. Vol. 4, No. 6, 2015, pp. 445-451. doi: 10.11648/j.acm.20150406.17
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Copyright © 2015 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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