四阶杆振动方程的多辛格式

Multi-symplectic Schemes of Four Order Rod Vibration Equation

提出四阶杆振动方程的一个多辛形式,并给出两个多辛格式.数值结果表明:多辛格式具有良好的长时间数值行为.

The multi-symplectic formulation of the four order rod vibration equation is constructed, then two multi-symplectic schemes are derived in this paper. The numerical results show that the multi-symplectic scheme has excellent long-time numerical behavior.