%0 Journal Article
%T A Compact Finite Volume Scheme for the Multi-Term Time Fractional Sub-Diffusion Equation
%A Baojin Su
%A Yanan Wang
%A Jingwen Qi
%A Yousen Li
%J Journal of Applied Mathematics and Physics
%P 3156-3174
%@ 2327-4379
%D 2022
%I Scientific Research Publishing
%R 10.4236/jamp.2022.1010210
%X In this paper, we introduce high-order finite volume methods for the multi-term time fractional sub-diffusion equation. The time fractional derivatives are described in Caputo¡¯s sense. By using some operators, we obtain the compact finite volume scheme have high order accuracy. We use a compact operator to deal with spatial direction; then we can get the compact finite volume scheme. It is proved that the finite volume scheme is unconditionally stable and convergent in <em>L</em><sub>¡Þ</sub>-norm. The convergence order is <em>O</em>(<em>¦Ó</em><sup>2-<em>¦Á</em></sup> + <em>h</em><sup>4</sup>). Finally, two numerical examples are given to confirm the theoretical results. Some tables listed also can explain the stability and convergence of the scheme.
%K Multi-Term Time Fractional Sub-Diffusion Equation
%K High-Order Compact Finite Volume Scheme
%K Stable
%K Convergent
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=120741