期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 16, 期 11, 页码 4208-4214出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.03.021
关键词
Radial basis function (RBFs); Interpolation method; Time fractional partial differential equations (PDEs)
类别
资金
- HEC Pakistan [063-281079-Ps3-169]
- IRSIP [14 Ps3]
In this paper, radial basis functions (RBFs) approximation method is implemented for time fractional advection-diffusion equation on a bounded domain. In this method the first order time derivative is replaced by the Caputo fractional derivative of order alpha epsilon (0,1], and spatial derivatives are approximated by the derivative of interpolation in the Kansa method. Stability and convergence of the method is discussed. Several numerical examples are include to demonstrate effectiveness and accuracy of the method. (C) 2011 Elsevier B.V. All rights reserved.
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