TY - JOUR
T1 - Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain
AU - Gongsheng Li, Chunlong Sun, Xianzheng Jia & Dianhu Du
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 337
EP - 357
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2016.y13024
UR - https://global-sci.org/intro/article_detail/nmtma/12380.html
KW - 
AB - <p style="text-align: justify;">This paper deals with numerical solution to the multi-term time fractional diffusion equation in a finite domain. An implicit finite difference scheme is established based on Caputo&#39;s definition to the fractional derivatives, and the upper and lower bounds to the spectral radius of the coefficient matrix of the difference scheme are estimated, with which the unconditional stability and convergence are proved. The numerical results demonstrate the effectiveness of the theoretical analysis, and the method and technique can also be applied to other kinds of time/space fractional diffusion equations.</p>