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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2012, 17(2), 140-151;

On the Numerical Solution of Fractional Partial Differential Equations

Department of Mathematics, K. N. Toosi University of Technology, P.O. Box: 16315- 1618, Tehran, Iran
Authors to whom correspondence should be addressed.
Published: 1 August 2012
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In this paper, a technique generally known as meshless method is presented for solving fractional partial differential equations (FPDEs). Some physical linear and nonlinear experiments such as time-fractional convective-diffusion equation, timefractional wave equation and nonlinear space-fractional Fisher's equation are considered. We present the advantages of using the radial basis functions (RBFs) especially wherein the data points are scattered. Comparing between the numerical results obtained from our method and the other methods confirms the good accuracy of the presented scheme.
Keywords: Radial basis functions; Fractional partial differential equations Radial basis functions; Fractional partial differential equations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Vanani, S.K.; Aminataei, A. On the Numerical Solution of Fractional Partial Differential Equations. Math. Comput. Appl. 2012, 17, 140-151.

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