High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation
High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation
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DOI：
10.3390/math11051105
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发表时间：
2023
期刊：
影响因子：
2.4
通讯作者：
Jiameng Kong
中科院分区：
文献类型：
--
作者：
Jianqiang Sun;Jingxian Zhang;Jiameng Kong
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.
