梁振动方程的一个稳定的有限差分近似

A stable finite difference approximation for vibration equation of beams

针对以梁振动问题为背景的一个四阶线性偏微分方程的初边值问题,给出了一个有限差分格式.其想法是使用适当的非对称格式,实现了问题的稳定的显式计算.

Aiming at the boundary value and initial value problems of the quartic linear partial differential equations based on vibration equation of beams,a finite difference scheme is given. By using the appropriate asymmetrical scheme, the stable explicit computation has been realized.