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SINC AND RADIAL BASIS FUNCTIONS FOR SOLUTION OF RAYLEIGH-STOKES PROBLEM WITH FRACTIONAL DERIVATIVES
JALIL RASHIDINIA,ALI PARSA,RAHELEH SALEHI 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.1
In this study we approximate the solution of two dimensional Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. This approximation is based on radial basis functions (RBFs) and the Sinc quadrature rule to approximate the integral part of fractional derivative. The error analysis of the scheme have been studied and discussed. The illustration example veries the effectiveness of our method and shows that one can obtain accurate results with a small number of basis functions.