Li, ZhiqiangLiang, ZongqiYan, Yubin2016-12-022016-12-022016-11-15Li, Z., Liang, Z. & Yan, Y. (2017). High-order numerical methods for solving time fractional partial differential equations. Journal of Scientific Computing, 71(2), 785-803. DOI: 10.1007/s10915-016-0319-10885-747410.1007/s10915-016-0319-1http://hdl.handle.net/10034/620273The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0319-1In this paper we introduce a new numerical method for solving time fractional partial differential equation. The time discretization is based on Diethelm’s method where the Hadamard finite-part integral is approximated by using the piecewise quadratic interpolation polynomials. The space discretization is based on the standard finite element method. The error estimates with the convergence order O(τ^(3−α) +h^2 ),0enhttp://creativecommons.org/licenses/by-nc-nd/4.0/time fractional partial differential equationsfinite element methoderror estimatesArticle1573-7691Journal of Scientific Computing