V. equation. A mixing leap-frog and C-N finite difference scheme is proposed.
方程周期初值问题构造了其C-N，“蛙跳”混合差分格式。
The finite difference scheme - ADI method is used to solve the seepage field model.
采用交替显隐式有限差分格式对渗流场模型进行了求解。
And then, we propose an implicit finite difference scheme for the similar problems.
接着，本文提出一个隐式差分格式求解上述类似问题。
The finite difference scheme for centered differences in space and time is adopted.
采用时间空间中央差分进行数值求解。
Finally, the finite difference scheme was interpreted by a discrete random walk model under a certain condition.
最后，对上述的两层有限差分格式在一定条件下进行了离散随机游走的解释。
A high order finite difference scheme is constructed based on non-uniform meshes for aero - (acoustics) applications.
研究了非等距网格下高阶精度有限差分方法用于气动声学问题的可行性。
The energy equations of the oil film and the bush are solved simultaneously by using an efficient finite difference scheme.
用一有效的有限差分法同时求解油膜和轴瓦的温度控制方程。
In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.
对一类特殊的非线性反应扩散方程进行完全离散，得到非线性的有限差分格式。
Based on the above findings, an efficient finite difference scheme is developed and in fact it is a "TVD" scheme though much simpler.
在以上发现的基础上，提出了一个有效的无自由参数、无波动的差分格式。
A kind of fractional steps finite difference scheme is introduced to solve two dimensional equations of heat conduction with three temperature.
对二维三温热传导方程组提出一类分数步有限差分格式。
We examine the super compact symmetric finite difference scheme (SCSFD) and compare it with traditional difference methods and compact difference methods.
用分块流水线方法设计了超紧致差分格式的并行算法，进行数值实验及并行性能分析。
In this paper, an, implicit finite difference scheme is constructed for the initial-boundary value problem of a generalized Regularized Long-Wave equation.
本文对广义正则长波方程的初边值问题提出了—个隐式差分格式，该格式合理地模拟了方程本身所具有的两个守恒律。
This paper deals with the use of the curved finite difference scheme and two-step numerical integration method to solve the vibration problem of thin plates.
本文用曲线差分及两步数值积分法联合求解薄板的振动问题。
Finally, the boundary treatment of the compact finite difference scheme is discussed and compared with the numerical result with periodic boundary conditions.
最后讨论了有限差分紧致格式的边界处理问题，并与用周期边界条件计算的结果进行了比较。
Compact finite difference scheme (CFDS) on non-uniform meshes and their truncation errors are constructed by matching the Taylor series coefficient expansion.
采用泰勒展式系数匹配的方法构造基于非等距网格的紧致差分格式并得出了它的截断误差。
Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.
然后引入新的步长函数空间，并在这个空间上，采用变分近似法讨论该格式的稳定性问题。
The symplectic preservation of the finite difference scheme is considered, however, the projection operation onto the constraint manifold still brings problems.
虽然已经注意差分的保辛，但沿切面积分再投影，仍带来许多问题。
At the same time, based on the result, it is concluded that the upwind finite difference scheme for solving the one dimensional heat transfer equation for SG is stable.
同时，根据这个结果分析得到了求解蒸汽发生器一维传热方程的逆风有限差分格式是稳定的。
To solve the nonlinear finite difference scheme, an accelerated monotone iterative method is presented, and the explicit estimate for the rate of convergence is given.
为了求解非线性差分格式，本文建立一种加速单调迭代算法，并给出精确的收敛率估计。
Compact finite difference scheme (CFDS) based on non-uniform meshes is constructed by matching the Taylor series coefficient expansion, and its truncation errors are analyzed.
采用泰勒展式系数匹配的方法构造出了非等距网格系统的紧致差分格式，并分析了其截断误差。
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。
Then the new function space is introduced and the stability problem for the finite difference scheme is discussed by means of variational approximation method in this function space.
然后引入新的函数空间，并在这个空间上，采用变分近似法讨论了该格式的稳定性问题。
Highly precise solutions both in time and in space can be reached by solving wave equation with high order finite difference scheme of staggered grid under the condition of stability.
用交错网格的高阶有限差分方法解波动方程，在满足稳定性要求时，可获得时间和空间都是高阶精度的结果。
Based on the characteristics of the physical variables, the boundary near centerline is extended so that a high order finite difference scheme can be utilized as at inner mesh points.
根据相应物理量的特性，在中心附近进行边界延拓，使得内点的高精度差分格式可以同样应用在网格中心附近，从而无需单侧差分格式，保持了一致的高阶精度。
In this paper, the numerical methods, issues and development for aeroacoustics, were described, including finite difference scheme, boundary conditions and nonlinear acoustics and shocks.
本文介绍了气动声学数值计算的方法和有关的问题、边界条件的处理以及计算非线性声波的数值方法和进展。
The groundwater flow is simulated with the seepage model of heterogeneity isotrope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.
以非均质各向同性渗流模型仿真地下水流，用不规则三角网格有限差分法求解三维数值仿真模型。
The groundwater flow is emulated with the seepage model of heterogeneity anti-isotope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.
本文基于研究区地下水系统概念模型，以非均质各向异性渗流模型仿真裂隙-岩溶水流，用有限元法求数值解。
Based on the mixed-form of the Richards equation and a finite difference scheme, a VBA program is developed to perform the numerical simulation of the saturated-unsaturated flow drainage experiment.
基于混合形式的Richards方程以及一种质量守恒的有限差分格式，编写了一个VBA程序以对饱和-非饱和流排水实验进行数值模拟。
Based on the mixed-form of the Richards equation and a finite difference scheme, a VBA program is developed to perform the numerical simulation of the saturated-unsaturated flow drainage experiment.
基于混合形式的Richards方程以及一种质量守恒的有限差分格式，编写了一个VBA程序以对饱和-非饱和流排水实验进行数值模拟。
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