@Article{EAJAM-5-1, author = {Jincheng Ren and Zhi-Zhong Sun}, title = {Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {1}, pages = {1--28}, abstract = {

Some efficient numerical schemes are proposed to solve one-dimensional and two-dimensional multi-term time fractional diffusion-wave equation, by combining the compact difference approach for the spatial discretisation and an $L1$ approximation for the multi-term time Caputo fractional derivatives. The unconditional stability and global convergence of these schemes are proved rigorously, and several applications testify to their efficiency and confirm the orders of convergence.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.080714.031114a}, url = {http://global-sci.org/intro/article_detail/eajam/10775.html} }