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The meshless method based on moving Kriging interpolation for two-dimensional time fractional diffusion equation |
| GE Hong-Xia,Rong-Jun Cheng |
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Abstract Fractional di?usion equations have been the focus of modeling problems in hydrology, biology, viscoelasticity, physics, engineering and other areas of application. In this paper, a meshfree method based on the moving Kriging interpolation is developed for two-dimensional time fractional diffusion equation. The shape function and its derivatives are obtained by the moving Kriging interpolation technique. For possessing the Kronecker delta property, this technique is very ef?cient in imposing the essential boundary conditions. The governing time fractional diffusion equations are transformed into a standard weak formulation by Galerkin method. It is then discretized into a meshfree system of time-dependent equations, which are solved by the standard central difference method. Numerical examples illustrating the applicability and effectiveness of the proposed method are presented and discussed in details.
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Received: 13 August 2013
Published: 31 October 2013
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Corresponding Authors:
GE Hong-Xia
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Cite this article:
GE Hong-Xia Rong-Jun Cheng The meshless method based on moving Kriging interpolation for two-dimensional time fractional diffusion equation Chin. Phys. B 0
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