Mesh generation is the first step to solve partial differential equations by means of the finite element method , finite difference method and finite volume method 网格生成是有限元法、有限差分法以及有限体积法等数值计算方法求解偏微分方程组的先决条件。
Telegraph equations , can be looked as cascade connection of two - port network of lumped circuit of transmission line , is a hyperbolic partial differential equations 传输线可以看作集中参数二端口网络的级联,其数学模型?电报方程是一阶双曲型偏微分方程组。
In this paper , some sufficient conditions are obtained for the oscillation of solutions of systems of a class of quasilinear partial differential equations . these results are illustrated by some examples 摘要文章获得了一类拟线性抛物型偏微分方程组解振动的若干充分条件,同时也给出了实际应用例子。
The method of characteristics is a method , using a system of compatible partial differential equations in place of the original hyperbolic system of quasilinear partial differential equations to solve 对于双曲型的拟线性偏微分方程组,可以在特征线上,构造相应的一组相容方程来求解,这就是特征线方法。
Methods a set of mixed parabolic - gradient nonlinear equations was established based upon the principles of the developing neural biology , which was computed by the adi scheme and the modified euler ' s method 方法根据神经发育原理,建立具有一定刚性的非线性混合抛物型偏微分方程组,运用adi差分格式和改进的欧拉法作数值分析。
Using the difference method and quasi - linearization method , the nonlinear differential equations , which include ten basic unknown functions in all , are reduced to a sequence of quasi - linear differential equations , which can be solved by the method of discrete orthogonalization 采用差分及准线性化方法,将含有10个基本未知函数的偏微分方程组,变换成能用离散正交法编程求解的准线性微分方程组。
The equation ' s forms of the hydraulic system models with elastic hammer have great difference from power system models that hydraulic system models have partial - differential equations while the power system models all are constant - coefficient differential equations 计及弹性水击后,水力系统模型和电力系统模型的形式有很大的差异,水力系统模型含有偏微分方程组,而电力系统模型为常微分方程组。
But on the other hand , should also see , boundary layer equation as before is a nonlinear differential equation set of two steps , the nonlinear nature of equation is still retained , so solving this system of equations on mathematics untie is fairly difficult 但另一方面也应看到,边界层方程依旧是一个二阶的非线性偏微分方程组,方程的非线性的性质仍然保留,这使得在数学上求它的解还是相当困难的。
Based on pseudo compressibility , two - dimensional low - speed flows are numerically simulated by solving euler and navier - stokes equations . the pseudo - compressibility term is introduced to the continuity equation of incompressible governing equations , which results in a closed hyperbolic system of equations 通过在不可压连续性方程中引入拟压缩项,使控制方程成为一个封闭且可以沿时间方向推进求解的双曲型偏微分方程组。
Exact solutions are derived for the forced vibration of plate on elastic foundation to moving loads , which is based upon the use of the 2 - d fourier transforms to the motion equations and boundary conditions . following a series of deduction , a calculation programme by the methods of numeric integration in fortran is provided 由系统的运动方程出发,利用界面连续条件,运用积分变换方法对原方程及边界条件进行了二维fourier积分变换,把偏微分方程组变成常微分方程组,求出加铺层板系统在移动荷载作用下的挠度解析解。