\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation-Reference-Cited by-同舟云学术

\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation

Published:2023-09-14 Issue:5 Volume:61 Page:2106-2132
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Quan Chaoyu¹^ORCID,Wu Xu²^ORCID

Affiliation:

1. School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, 518172, Guangdong, People’s Republic of China; SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, 518055, Guangdong, People’s Republic of China.

2. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China; Department of Mathematics, Southern University of Science and Technology, Shenzhen, 518055, Guangdong, People’s Republic of China.

Funder

Guangdong Basic and Applied Research Foundation

Shenzhen Science and Technology Program

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference30 articles.

1. A new difference scheme for the time fractional diffusion equation

2. A high-order L2 type difference scheme for the time-fractional diffusion equation

3. Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem

4. A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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