Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations-Reference-Cited by-同舟云学术

Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations

Published:2023 Issue:3 Volume:18 Page:957-981
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Li Min¹,Ming Ju²,Qin Tingting²,Zhou Boya³

Affiliation:

1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China

2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China, and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, China

3. School of Mathematics and Big Data, Foshan University, Guangdong, 52800, China

Abstract

<abstract><p>An energy-preserving finite difference method is first presented for solving the nonlinear coupled space-fractional Klein-Gordon (KG) equations. The discrete conservation law, boundedness of the numerical solutions and convergence of the numerical schemes are obtained. These results are proved by the recent developed fractional Sobolev inequalities, the matrix analytical methods and so on. Numerical experiments are carried out to confirm the theoretical findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computer Science Applications,General Engineering,Statistics and Probability

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