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IMPLICIT LOCAL RADIAL BASIS FUNCTION METHOD FOR SOLVING TWO-DIMENSIONAL TIME FRACTIONAL DIFFUSION EQUATIONS

ABSTRACT
Based on the recently developed local radial basis function method, we devise an implicit local radial basis function scheme, which is intrinsic mesh-free, for solving time fractional diffusion equations. In this paper the L1 scheme and the local radial basis function method are applied for temporal and spatial discretization, respectively, in which the time-marching iteration is performed implicitly. The robustness and accuracy of this proposed implicit local radial basis function method are demonstrated by the numerical example. Furthermore, the sensitivities of the shape parameter c and the number of nodes in the local sub-domain to the accuracy of numerical solutions are also investigated.
KEYWORDS
PAPER SUBMITTED: 2014-10-10
PAPER REVISED: 2015-01-21
PAPER ACCEPTED: 2015-02-02
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S59W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S59 - S67]
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