A class of generalized backward difference method for solving stiff ordinary differential equation containing parameters 求解Stiff常微分方程具有参数的一类广义向后差分方法
Secondly, the discretization pattern is obtained for the determining solution problem mentioned above, through using the backward difference method to time variable and the finite volume method to space variables in an annular sloving domain which is used for actual computation. 其二在环形求解区域内,对上述定解问题中的时间变量使用向后差分法、空间变量使用有限体积法进行离散化得到相应离散化格式,并将其应用于实例计算中;
An example, a model rotor system, is numerically analyzed by above mentioned theoretical solution and three general numerical integration methods the Euler backward difference method, Newmark method and Houbolt method. 用本文提出的理论解方法及三种常用的数值积分法:尤拉后差法,纽马克法,及呼伯特法,对一模型转子算例进行了分析计算,结果表明;
Describe the pressure variation of node in grid with bilinear interpolating function. These equations are dispersed in time by using backward difference method. 用双线性函数描述网格结点的压力变化,在时间上用向后差分法进行离散。
Numerical simulations have been done with the backward Kolmogorov equation for reliability function and the generalized Pontryagin equation for conditional moment of the first-passage time which is under control by using finite difference method. 并采用有限差分法对受控系统的可靠性函数、首次穿越损坏的概率密度函数所满足的偏微分方程进行了数值仿真。