TY - JOUR
T1 - Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation
AU - Jincheng Ren & Zhi-Zhong Sun
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 1
EP - 28
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.080714.031114a
UR - https://global-sci.org/intro/article_detail/eajam/10775.html
KW - Multi-term time fractional diffusion-wave equation, compact difference scheme, discrete energy method, convergence.
AB - <p style="text-align: justify;">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.</p>