Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

作者：Li, X. Y.; Wu, B. Y.^*

来源：International Journal of Computer Mathematics, 2018, 95(6-7): 1210-1221.

DOI：10.1080/00207160.2017.1398325

• Reproducing kernel
• diffusion equations
• nonlinear

In this paper, a numerical method is proposed for solving nonlinear variable-order space fractional diffusion equations. The method is based on the reproducing kernel theory and the iterative method. The convergence of the method is also discussed. Numerical examples are provided to show that the numerical method is computationally efficient.

• 出版日期2018
• 单位哈尔滨工业大学; 常熟理工学院