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- Title
High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation.
- Authors
Sun, Jianqiang; Zhang, Jingxian; Kong, Jiameng
- 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.
- Subjects
SINE-Gordon equation; PARTIAL differential equations; VECTOR fields; ENERGY conservation; SEPARATION of variables
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 5, p1105
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11051105