%0 Journal Article %T Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space %A Jia %A Lina %A Wang %A Yulan %A Zhang %A Haolu %A Zhang %A Wei %A Zhang %A Xiaoli %J - %D 2020 %R https://doi.org/10.1155/2020/1794975 %X 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 %U https://www.hindawi.com/journals/jfs/2020/1794975/