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

ABSTRACT

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.

KEYWORDS:

• Reproducing kernel
• diffusion equations
• nonlinear

2010 AMS SUBJECT CLASSIFICATIONS:

• 46E22
• 65C20
• 34A08

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported by the National Natural Science Foundation of China [No. 11326237, 11271100, 11401086].