首页|Implicit Finite Difference Method for Time-Space Caputo-Riesz Fractional Diffusion Equation with Fractional Robin Boundary Conditions
Implicit Finite Difference Method for Time-Space Caputo-Riesz Fractional Diffusion Equation with Fractional Robin Boundary Conditions
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In this paper,an efficient numerical method is proposed to solve the Caputo-Riesz fractional diffusion equation with fractional Robin boundary conditions.We approximate the Riesz space fractional derivatives using the fractional central difference scheme with second-order accurate.A priori estimation of the solution of the numerical scheme is given,and the stability and convergence of the numerical scheme are analyzed.Finally,a numerical example is used to verify the accuracy and efficiency of the numerical method.
Fractional boundary conditionsStability and convergenceCaputo-Riesz fractional diffusion equation
TANG Zhong-hua、FANG Shao-mei
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College of Mathematics and Informatics,South China Agricultural University,Guangzhou 510642,China
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