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- W2904705502 abstract "In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integration by using initial condi-tions. This leads to fewer computations rather than the standard FIM. Also, a product Simpson method is used to overcome the singularity included in the definition of fractional derivatives, and an integration matrix is obtained. Some numerical examples are provided to show the efficiency of the method. In addition, a comparison is made between the proposed method and the previous ones." @default.
- W2904705502 created "2018-12-22" @default.
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- W2904705502 date "2019-01-01" @default.
- W2904705502 modified "2023-09-23" @default.
- W2904705502 title "Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients" @default.
- W2904705502 hasPublicationYear "2019" @default.
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