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 计算数学 2019, Vol. 41 Issue (3): 295-307    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 Previous Articles  |  Next Articles THE IMPLICIT MIDPOINT METHOD FOR TWO-SIDE SPACE FRACTIONAL DIFFUSION EQUATION WITH A NONLINEAR SOURCE TERM
Hu Dongdong, Cao Xuenian, Jiang Huiling
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
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Abstract： In this paper, the numerical scheme was constructed for solving the space fractional diffusion equation with a nonlinear source term where the implicit midpoint method was applied to discretize the first order time partial derivative, and the quasi-compact difference operator was utilized to approximate Riemann-Liouville space fractional partial derivative. Stability and convergence analysis of this numerical method were given. Numerical experiments show that the numerical method is effective.

 引用本文: . 带非线性源项的双侧空间分数阶扩散方程的隐式中点方法[J]. 计算数学, 2019, 41(3): 295-307. . THE IMPLICIT MIDPOINT METHOD FOR TWO-SIDE SPACE FRACTIONAL DIFFUSION EQUATION WITH A NONLINEAR SOURCE TERM[J]. Mathematica Numerica Sinica, 2019, 41(3): 295-307.

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