Journal of Function Spaces (Jan 2020)
Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space
Abstract
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method.