High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation-Reference-Cited by-同舟云学术

High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation

Published:2023-02-22 Issue:5 Volume:11 Page:1105
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Sun Jianqiang¹,Zhang Jingxian¹^ORCID,Kong Jiameng¹

Affiliation:

1. Department of Mathematics, School of Science, Hainan University, Haikou 570228, China

Abstract

A fourth-order energy preserving composition scheme for multi-symplectic structure partial differential equations have been proposed. The accuracy and energy conservation properties of the new scheme were verified. The new scheme is applied to solve the multi-symplectic sine-Gordon equation with periodic boundary conditions and compared with the corresponding second-order average vector field scheme and the second-order Preissmann scheme. The numerical experiments show that the new scheme has fourth-order accuracy and can preserve the energy conservation properties well.

Funder

National Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1105/pdf

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