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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

On the Numerical Solution of Fractional Partial Differential Equations

by
Solat Karimi Vanani
* and
Azim Aminataei
*
Department of Mathematics, K. N. Toosi University of Technology, P.O. Box: 16315- 1618, Tehran, Iran
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2012, 17(2), 140-151; https://doi.org/10.3390/mca17020140
Published: 1 August 2012
Versions Notes

Abstract

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

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MDPI and ACS Style

Vanani, S.K.; Aminataei, A. On the Numerical Solution of Fractional Partial Differential Equations. Math. Comput. Appl. 2012, 17, 140-151. https://doi.org/10.3390/mca17020140

AMA Style

Vanani SK, Aminataei A. On the Numerical Solution of Fractional Partial Differential Equations. Mathematical and Computational Applications. 2012; 17(2):140-151. https://doi.org/10.3390/mca17020140

Chicago/Turabian Style

Vanani, Solat Karimi, and Azim Aminataei. 2012. "On the Numerical Solution of Fractional Partial Differential Equations" Mathematical and Computational Applications 17, no. 2: 140-151. https://doi.org/10.3390/mca17020140

APA Style

Vanani, S. K., & Aminataei, A. (2012). On the Numerical Solution of Fractional Partial Differential Equations. Mathematical and Computational Applications, 17(2), 140-151. https://doi.org/10.3390/mca17020140

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