Improved uniform error bounds of Lawson-type exponential integrator method for long-time dynamics of the high-dimensional space fractional sine-Gordon equation-Reference-Cited by-同舟云学术

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Improved uniform error bounds of Lawson-type exponential integrator method for long-time dynamics of the high-dimensional space fractional sine-Gordon equation

Published:2024-02-10 Issue: Volume: Page:
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Jia Junqing,Jiang Xiaoyun,Chi Xiaoqing

Funder

National Natural Science Foundation of China

Key International Cooperative Research Projects of the National Natural Science Foundation of China

Major Basic Research Project of Natural Science Foundation of Shandong Province

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11075-023-01745-0.pdf

Reference56 articles.

1. Ainsworth, M., Mao, Z.: Analysis and approximation of a fractional Cahn-Hilliard equation. SIAM J. Numer. Anal. 55(4), 1689–1718 (2017)

2. Huang, Y., Oberman, A.: Numerical methods for the fractional Laplacian: a finite difference-quadrature approach. SIAM J. Numer. Anal. 52, 3056–3084 (2014)

3. Cai, W., Jiang, C., Wang, Y., Song, Y.: Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. J. Comput. Phys. 395, 166–185 (2019)

4. Bratsos, A.G.: The solution of the two-dimensional sine-Gordon equation using the method of lines. J. Comput. Appl. Math. 206(1), 251–277 (2007)

5. Josephson, J.D.: Supercurrents through barries. Adv. Phys. 14, 419–451 (1965)

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