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Solving Parabolic Equations PR alternating direction implicit difference scheme of matlab program.

详细说明:求解抛物型方程的交替方向P-R差分格式的matlab程序实现。

It adopts the variable step length scheme to evaluate at the connection point, and adopts the implicit difference scheme to evaluate in the same rod.

3运用在均质处采用式差分格式、节点处采用变步长的有限差分的混合方法求解抽油杆柱的波动方程。

In chapter two,We present a globally nonlinear implicit difference scheme,i.e., a nonlinear iterative algorithma has to be used to solve the system of the nonlinear algebraic equation at each discrete time step.

第二章构造了一个非线性差分格式,在每一个时间层上需要迭代求解非线性方程组,该格式可以保证离散电荷和离散能守恒。

This method adopts the variable step length scheme to evaluate at the connection point, and adopts the implicit difference scheme to evaluate in the same rod.

在进行数值求解时,在抽油杆柱均质杆段处采用式差分格式,而抽油杆柱在组合杆柱相邻联结点处则采用变步长的有限差分格式。

In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中,对连续性方程采用全式差分方案以保证数值稳定性;运用雅可比迭代法求解差分方程组,并且在求解过程中,只对差分方程组系数矩阵中的非零元素进行处理,因此减少了对内存的需求量,而且缩短了计算时间。

To price the continuously sampled arithmetic average Asian option, an implicit upwind difference scheme is constructed based on the final boundary value problem of partial differential equation, which is satifiable to the option pricing problem. Then the unique existence and unconditional stability of the difference solution are demonstrated and the error estimate is given under the discrete L2 norm.

研究连续取样的算术平均亚式期权定价问题的差分方法,根据问题所满足的偏微分方程终边值问题,构造出一种式的迎风差分格式,论证了差分解的惟一存在性和绝对稳定性,并给出差分解在离散L2范数下的误差估计。

By introducing the parameter , construct a new kind of weighted implicit difference scheme for (1+1)-dimension nonlinear Sine-Gordon equation and the generalized nonlinear Sine-Gordon equation respectively. Give out an ADI scheme for (2+1)-dimension nonlinear Sine-Gordon equation.

通过引进参数,分别为(1+1)维的非线性Sine-Gordon方程和广义的非线性Sine-Gordon方程建立了它们的加权式差分格式,给出了(2+1)维的非线性Sine-Gordon方程的ADI格式。

Finite element discretization was carried out on the mathematical model to get a fully coupled finite element equation with the parameters of element nodal displacement and element nodal pore pressure as unknown variables. Finally, the transient nonlinear finite element equation in incremental form for reservoir fluid-solid coupling is obtained by means of time discretization in implicit difference scheme.

基于与微分方程等价的加权余量公式,在空间域采用有限元离散,对时间域进行式差分格式离散,导出了以单元节点位移和单元节点孔隙压力为未知量的储层流固耦合的非线性有限元增量方程。

In the paper, river and the downstream area of dike are regarded as a whole system, and hydraulic model of coupling 1-D river and gradual dike-break is established, therein the Preissmann implicit difference scheme is applied to Main River, and the FVM is applied to the breach and polder. On the basis of FVM and unstructured grids, TVD ?

本文将河道与堤坝下游区域视为一个整体,对于单一河道采用Preissmann四点式差分格式计算,对于溃口及圩区采用有限体积法,建立了一维河道与堤坝渐溃耦联的水力模型,也是一维、二维耦合的水流模型。

Starting with the basic concept about particle transport and the universal form of transport equation, the discuss is concentrated upon the transport equation and the implicit difference scheme under 3-D Cartesian coordinate, as well as the transport equation and the discontinuous finite element scheme under 2-D cylindrical geometry.

从粒子输运的基本概念和输运方程的一般形式入手,重点讨论了三维直角坐标中子输运方程和式差分格式,以及二维柱坐标中子输运方程和间断有限元格式。

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