@Article{EAJAM-4-242, author = {Ren , Jincheng and Sun , Zhi-Zhong}, title = {Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {3}, pages = {242--266}, abstract = {

Some efficient numerical schemes are proposed for solving one-dimensional (1D) and two-dimensional (2D) multi-term time fractional sub-diffusion equations, combining the compact difference approach for the spatial discretisation and $L1$ approximation for the multi-term time Caputo fractional derivatives. The stability and convergence of these difference schemes are theoretically established. Several numerical examples are implemented, testifying to their efficiency and confirming their convergence order.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181113.280514a}, url = {http://global-sci.org/intro/article_detail/eajam/10835.html} }