Error Analysis of Quasi-Carey Nonconforming Element for Multi-Term Time Fractional Diffusion Equations
A quasi-Carey nonconforming finite element method for a class of two-dimensional multi-term time fractional diffusion equations with Caputo fractional derivative is established under classical L1 fully-discrete ap-proximation scheme.By use of the special property of the element and fractional derivative skillfully technique,the optimal error estimates in L2-norm and H1-norm are derived.
multi-term time fractional diffusion equationsQuasi-Carey elementfully-discrete schemeop-timal error estimate