For higher dimensional case (2 or 3 dimensions), giving suitable initial and boundary conditions, there are also some results.
对于高维(维数为2或3)方程组的情形在适当的初边值条件下也得到了一些结果。
A dynamic model of overhead cable for ropeway is developed together with differential equations of its vibration and initial and boundary conditions.
本文首先建立了架空索道的动力学模型，并建立了它的振动微分方程、初始条件及边界条件。
A dynamic model of overhead cable for ropeway is developed, i. e. some differential equations of its vibration with initial and boundary conditions proved.
建立了架空索道在起动和制动时缆索的纵向运动微分方程，对其进行了数值求解。
In this paper, moment method is used to deal with the first boundary value problem of one dimensional wave equation with stochastic initial and boundary conditions.
本文使用矩方法处理了具有随机初始条件的一维波动方程的第一边值问题。
In the classic solution of wave equation, it is required that the initial and boundary conditions should be smooth enough and any discontinuities are not allowed in medium coefficients.
在波动方程的经典解法中，初始条件与边界条件都要充分光滑，介质系数也不能出现间断。
Inputing the initial conditions and boundary conditions, the software can directly output the visualization computing results.
输入边界条件与初始条件后，可直接输出可视化的计算结果。
The author makes the proposal of establishing a preliminary underground gas drainage numerical model, which is the equivalent of boundary conditions and shift forward of initial conditions.
本文从数值模拟的角度提出了建立井下瓦斯抽放数值模型的初步方案，即将边界条件等效和模拟时间前推。
The finite element mould of the cast steel cooling stave of blast furnace was established and the initial conditions and boundary conditions were determined.
建立了高炉铸钢冷却壁的有限元模型，确定了冷却壁温度场模拟的初始条件和边界条件。
The artical introduces elementary equation, boundary and initial conditions of model of equivalent conduction heat transfer, physical property prarameters processing and the method of value solving.
介绍了等效传导传热模型的基本方程、界条件和初始条件、性参数的处理以及数值求解方法等。
Arbitrary initial pore-water pressure distributions and flux boundary conditions are considered in the analytical solution.
此解析解考虑了任意初始的孔隙水压力分布和流量边界条件。
The corespondent boundary and initial conditions are also proposed.
另外还提出合理的边界条件。
Both initial and boundary-value problems, including displacement, traction and mixed boundary conditions are solved.
解决了初始和边值问题，包括位移的、曳力的和混合的边值条件。
The reclaimed soil foundation is consolidated, and its vacuum preloading consolidation process is very complex, so are the boundary and initial conditions.
吹填土地基作为欠固结土，其真空预压加固过程比较复杂，初始条件和边界条件也比较复杂。
In this paper, we investigate the artificial boundary conditions and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems.
本文研究双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
This paper discusses the different differential methods of Alternating Direction Implicit method with initial condition and boundary conditions in detail.
详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。
The randomness of physical parameters and boundary conditions of heat transfer was considered, each parameter and initial boundary conditions are regarded as interval parameters.
考虑鼓式制动器导热中物理参数和边界条件的有界不确定性，将其参数和边界条件均视为区间变量。
Wealso prove its stability with regard to initial conditions and boundary conditions, The numerical results indicate the correctness of the theoretical analysis.
并通过对初始稳定性和边界稳定性的分析，证明了该结构的稳定性。其数值结果表明了理论分析的正确性。
The effects of boundary conditions, loading forms, shear directions and initial imp…
同时，还讨论了边界等件、加载方式、剪切力的方向及初始缺陷的影响。
The effects of boundary conditions, loading forms, shear directions and initial imp…
同时，还讨论了边界等件、加载方式、剪切力的方向及初始缺陷的影响。
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