Barycentric rational collocation method for fractional reaction-diffusion equation

Abstract

Barycentric rational collocation method (BRCM) for solving spatial fractional reaction-diffusion equation (SFRDE) is presented. New Gauss quadrature with weight function $ (s_{\theta}-\tau)^{\xi-\alpha} $ is constructed to approximate fractional integral. Matrix equation of SFRDF is obtained from discrete SFRDE. With help of the error of barycentrix rational interpolation, convergence rate is obtained.

Keywords

• linear barycentric rational interpolation
• collocation method
• fractional reaction-diffusion equation