带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法(英文) |
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作者姓名: | 唐忠华 房少梅 |
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作者单位: | College of Mathematics and Informatics, South China Agricultural University |
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基金项目: | Supported by National Natural Science Foundation of China (Grant No. 11271141); |
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摘 要: | 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...
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