On the Numerical Solution of Fractional Partial Differential Equations

Solat Karimi Vanani; Azim Aminataei

doi:10.3390/mca17020140

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1 August 2012

On the Numerical Solution of Fractional Partial Differential Equations

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Department of Mathematics, K. N. Toosi University of Technology, P.O. Box: 16315- 1618, Tehran, Iran

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Math. Comput. Appl.2012, 17(2), 140-151;https://doi.org/10.3390/mca17020140

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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

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