Global-in-Time H1 -Stability of L2-1 σ Method on General Nonuniform Meshes for Subdiffusion Equation

Quan，Chaoyu1; Wu，Xu2,3

2023-05-01

10.1007/s10915-023-02184-8

Journal of Scientific Computing   影响因子和分区

0885-7474

1573-7691

In this work the L2-1 method on general nonuniform meshes is studied for the subdiffusion equation. When the time step ratio is no less than 0.475329, a bilinear form associated with the L2-1 fractional-derivative operator is proved to be positive semidefinite and a new global-in-time H-stability of L2-1 schemes is then derived under simple assumptions on the initial condition and the source term. In addition, the sharp L-norm convergence is proved under the constraint that the time step ratio is no less than 0.475329.

Convergence H1-stability L2-1σ method Nonuniform meshes Subdiffusion equation

SCI ; EI

英语

第一 ; 通讯

National Natural Science Foundation of China[12271241];Shenzhen Science and Technology Innovation Program[RCYX20210609104358076];

Mathematics

Mathematics, Applied

WOS:000967451500001

SPRINGER/PLENUM PUBLISHERS

20231713954453

Calculus:921.2

MATHEMATICS

2-s2.0-85153070961

Scopus

1.SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,China
2.Department of Mathematics,Harbin Institute of Technology,Harbin,150001,China
3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China

Quan，Chaoyu,Wu，Xu. Global-in-Time H1 -Stability of L2-1 σ Method on General Nonuniform Meshes for Subdiffusion Equation[J]. Journal of Scientific Computing,2023,95(2).

Quan，Chaoyu,&Wu，Xu.(2023).Global-in-Time H1 -Stability of L2-1 σ Method on General Nonuniform Meshes for Subdiffusion Equation.Journal of Scientific Computing,95(2).

Quan，Chaoyu,et al."Global-in-Time H1 -Stability of L2-1 σ Method on General Nonuniform Meshes for Subdiffusion Equation".Journal of Scientific Computing 95.2(2023).