An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations

Abstract

A numerical approach is proposed for space fractional partial differential equations by the reproducing kernel approach. Some procedures are presented for improving the existing methods. The presented method is easy to accomplish. Approximate solutions and their partial derivatives are shown to converge to exact solutions, respectively. Experiments show that the presented technique is efficient, and that high-precision global approximate solutions can be obtained.

Keywords

• space fractional partial differential equation
• reproducing kernel
• exact solution
• numerical approach