Characteristic solution and finite difference solution to the model are derived respectively and water saturation distribution curves are presented.
分别运用特征线法和有限差分法求解，得到了含水饱和度分布和活动边界的变化规律。
On the basis of the variational method, a finite difference solution is presented for shear lag effect in Qiantang River Bridge with box section of varying depth.
本文结合钱塘江二桥应用变分法推导了变截面箱形梁剪滞效应的微分方程并利用有限差分法求得解答。
Characteristic solution and finite difference solution are derived respectively and water saturation distribution curves are presented and the law of the moving boundary is found.
这种模型属于具有活动边界的非线性问题，分别用特征线法和有限差分法求解，得到了含水饱和度分布和活动边界的变化规律。
According to geologic model of unsteady groundwater flow in heterogeneous medium and adopting the finite difference solution, the direction and strength of oil gas migration can be quantified.
根据非均匀各向异性地层的非稳定的地下水流动模型，采用有限差分法求解，可以定量判断油气运移的方向及强度。
The results of the precise integration method agree well with the theoretical solution and have higher precision than those of the finite difference method.
数值算例表明，用精细积分法得到的解与精确解十分吻合，比有限差分法具有更高的精度。
In the calculation, the mathematical model assumed by Winkler and its finite-difference solution are adopted.
计算采用文克尔假定的数学模型及其有限差分解。
The concept of extended boundary node was presented. By using finite difference method, the solution of the gained difference equations was given and simulated by computer.
由此提出了扩展边界节点的概念，并使用有限差分法，对所得到的差分方程组进行了计算机求解及模拟。
Numerical solution is given to mathematical model of formation temperature field by full implicit finite difference method.
并利用有限差分方法，对温度场数学模型进行数值求解。
By use of the time split method, a conservation difference formula is established to find the solution to the shallow water equation based on the finite volume control method from integral equations.
采用二分步法，从积分型方程出发，在有限控制体上建立守恒型差分格式，对二维浅水波方程进行求解。
A finite difference method based on differential-integral equation is presented for the solution of Navier-Stokes equations for incompressible viscous flow.
本文提出了基于微分-积分方程组求解n - S方程的有限差分法求解不可压缩实际粘性流体绕孤立翼型流动。
In solving partial differential equation (i. e. pricing model), the author adopted the finite difference method to get its numerical solution.
本文采用有限差分法求解偏微分方程(即定价模型)的数值解。
The numerical solution is obtained by finite difference divergence of time, and finite volume divergence of space.
采用时间有限差分离散，空间有限体积离散的方法求问题的数值解。
A finite difference numerical calculation has shown that the smaller the difference step is, the faster the difference solution approaches the analytic one.
该类方程的差分数值计算表明，当差分步长变小时，差分解很快逼近解析解。
Finite-difference iterative method is used for numerical solution, and some curvatures varied with different parameters are obtained.
应用差分迭代方法进行了数值求解，得到了液晶指向矢随不同的参数变化的曲线。
An energy difference rate method (EDRM) is applied to establish a closed form solution (CFS) about stress intensity factor (SIF) of three dimensional finite bodies containing inclined embedded cracks.
采用能量差率方法，首次导出含偏轴裂纹三维有限大体应力强度因子封闭解。
Finite-difference iterative method is used for numerical solution.
应用差分迭代方法进行了数值求解。
We made the following research in image denoising based on PDEs. On the solution of nonlinear partial differential equations, the check-board finite difference scheme is introduced.
本文在基于偏微分方程的图像去噪方面进行了以下的研究：就非线性扩散偏微分方程的解法，引入了跳点有限差分格式。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The purpose of this paper is to extend its application to solution of incompressible Navier-Stokes equations in non-orthogonal curvilinear coordinate system by the finite difference method.
这种逆风因子法是作者在用有限元素法解不可压N-S方程中提出来的。
Obtained accurate and sustained solution of the model by finite difference method.
采用有限差分法获得模型的精确、稳定解。
The solution method is based on a finite difference approach, for which we present convergence characteristics. A multi-smoothing scheme is proposed to improve the convergence of the matching process.
本文采用新的弹性约束项，得到的优化方程不但容易计算而且有明确的物理意义，本文讨论了用有限差分法解这个方程的方法，对于复杂形状的轮廓匹配可以用多尺度法来解决。
By using the finite-difference method, a solution is obtained in this paper to the diffusion problem of the catalytic agent released by the airplane.
本文利用有限差分法对飞机播撒催化剂的扩散问题进行了求解。
The Euler solution is obtained using time-marching method by MacCormack two-step finite-difference scheme, which has second-order accuracy in both time and space.
应用隐式时间推进法对不同马赫数的无粘和粘性流动进行数值分析 ，给出了基于预处理方法的高阶精度隐式求解方法。
The Euler solution is obtained using time-marching method by MacCormack two-step finite-difference scheme, which has second-order accuracy in both time and space.
应用隐式时间推进法对不同马赫数的无粘和粘性流动进行数值分析 ，给出了基于预处理方法的高阶精度隐式求解方法。
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