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991.
992.
993.
In this paper, using the PLK method and reductive perturbation method, we obtained the second approximation to cnoidal waves at the free surface and interface for the two-fluid system considered in [1]. The corresponding results in [3] and [4] may be obtained as special cases in this paper.Projects Supported by the Science Fund of the Chinese Academy of Sciences. 相似文献
994.
刘光旭 《应用数学和力学(英文版)》1987,8(11):1027-1036
In this paper, the objective is to give sufficient conditions for the existence of solution of the nonlinear two-point boundary
value problem(1.1). And we employ these results to consider the boundary layer phenomena of the quasilinear weakly coupled
singularly perturbed system (DP)q. 相似文献
995.
In this paper, starting from some fundamental properties of Heaviside function and δ-function, making use of singular perturbation methods we provide a method of finding the asymptotic analytic solution of equation where M is an n -order linear differential operator, f(u) is a polynomial. By means of this method, we discuss some examples concretely. The results can be explained satisfac-torily in physics. If we deal with linear problem by this method, the result will agree with that drawn from theorem of impulse. 相似文献
996.
In analysing the geometrically nonlinear problem of an axisymmetrical thin-walled shell, the paper combines the perturbation method with the finite element method by introducing the former into the variational equation to obtain a series of linear equations of different orders and then solving the equations with the latter. It is well-known that the finite element method can be used to deal with difficult problems as in the case of structures with complicated shapes or boundary conditions, and the perturbation method can change the nonlinear problems into linear ones. Evidently the combination of the two methods will give an efficient solution to many difficult nonlinear problems and clear away some obstacles resulted from using any of the two methods solely. The paper derives all the formulas concerning an axisym-metric shell of large deformation by means of the perturbation finite element method and gives two numerical examples,the results of which show good convergence characteristics. 相似文献
997.
In this paper, the analytical expressions of the pressure distribution, velocity distribution and discharge of the flow between spherical surfaces are found by using the method of iterative approximate solution when the inertia terms of Navier-Stokes equations in spherical coordinates are taken into consideration. Furthermore, using these expressions, we can directly obtain the corresponding analytical expressions of the laminar radial flow between parallel disks, which are fully identical with corresponding results presented by refs. [3,4]. 相似文献
998.
In this paper, the exponential asymptotic solution (E.A.S.) of differential equation is discussed. Firstly, E.A.S. of the second-order differential equation is studied and the orthogonal conditions of the uniformly valid E.A.S. are found out. Next, E.A.S. in matched asymptotic method is discussed. Finally, some examples are given. 相似文献
999.
提出了一种基于复数域微分的资料同化新方法. 针对变分资料同化中目标泛函梯度计算复杂和精度不高的问题, 首先利用复变量求导法把梯度分析过程转化为复变泛函的数值计算, 进而高效和高精度地获得梯度值; 然后结合经典的最优化方法, 给出了非线性物理系统资料同化问题的新求解算法; 最后对典型混沌系统和包含“开关”现象的单格点比湿发展方程进行了资料同化数值实验, 结果表明新方法能非常有效地估计出非线性动力预报模式的初始条件.
关键词:
资料同化
复数域微分
非线性物理系统
梯度分析 相似文献
1000.
Using an approach proposed in [3],we consider some linear and nonlinear problems forviscoelastic rods.Results in [1]for linear case are affirmed more elamentarily and simplyhere.We also treat linear problem with damping term and nonlinear problem with powernonlinearity Pu~3. Some new results are established. 相似文献