Fokker-Planck方程TVD有限体积方法  

TVD Finite Volume Method for Fokker-Planck Equation

作　　者：王馨婕 

机构地区：[1]长沙理工大学数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2021年第4期1229-1232,共4页Advances in Applied Mathematics

摘　　要：我们研究一种求解时间分数阶Fokker-Planck方程TVD有限体积方法,其中对流项和扩散项分别使用TVD离散格式和中心差分离散格式,时间分数阶导数采用离散格式。数值实验结果表明,在较粗网格上求解对流占优问题时,我们的方法具有较好的优势。We study a TVD finite volume method for solving the time fractional Fokker-Planck equation, in which the TVD scheme and the central difference scheme are used to discretize the convection term and the diffusion term respectively, and L1 scheme is used to discretize the time fractional derivative. The numerical tests show that our method has advantages when it is used to solve convection dominated problems on coarse grids.

关 键 词：时间分数阶 FOKKER-PLANCK方程 有限体积法 TVD格式 

分 类 号：G63[文化科学—教育学]