利用Green函数，根据双调和方程边值问题的边界积分公式和自然边界积分方程。
By using Green function, the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation were obtained.
利用弹性薄板的广义变分原理和双调和方程的特解序列，提出了一种求解圆板混合边值问题的数值方法。
The existence and the life span of solutions to some mixed initial-boundary value problems are also investigated.
文中不仅对数值求解双调和方程的两种不同方法作了介绍，还利用该方程生成了典型的H型、C型、O型网格。
It is not only introduced the two measures taken to solve the biharmonic equations, but the topical grids of H-type, C-type, and O-type are generated with this equation.
根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。
According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.
根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。
According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.
应用推荐