BENDING OF CANTILEVER RECTANGULAR PLATE WITH CONCENTRATED LOAD

In this paper the solutions for the bending of cantilever rec-tangular plates with concentrated load acting at any point of themiddle line perpendicular to the clamped edge are given by means ofa conception named modified simply supported edges and the methodof superposition.Some numerical examples are presented.The totalbending moment checks verg well with the value determined statically.     

角支矩形板的不对称弯曲

矩形板在四角顶被支承的弯曲问题,张福范在文中考虑了在板的平面内荷载为均布荷载的问题。在文中考虑了有一集中力作用在板的中线上任一点以及作用在某一板边的中点问题。其弯曲面系关于中线或垂直于作用力边的中线为对称。本文考虑不对     

色散方程u_t=au_(xxx)的一类具高稳定性的三层显式格式

本文对色散方程u_1=au_(xxx)提出一类三层显式格式,它的稳定性条件为|r|=|a|△t/(△x)~3≤2.382484,比[1,2]中的|r|≤0.3849和[3]中的|r|≤0.701659以及[4]中的|r|≤1.1851有较大改进.     

A CLASS OF THBEE-LEVEL EXPLICIT SCHEMES WITH HIGHER STABILITY PROPERTIES FOR A DISPERSIVE EQUATION u_(t)=au_(xxx)

In this paper, a class of three level explicit schemes for a dispersive equation u_t=au_(xxx) with stability condition |r|=|a|△t/(△x)~3≤2.382484, are considered. The stability condition for this class of schemes is much better than |r|≤0.3849 in [1], [2] and |r|≤0.701659 in [3], and |r|≤1.1851 in [4].     

A singular perturbation problem for periodic boundary partial differential equation

In this paper,we consider a singular perturbation elliptic-parabolic partial differentialequation for periodic boundary value problem,and construct a difference scheme.Using themethod of decomposing the singular term from its solution and combining an asymptoticexpansion of the equation,we prove that the scheme constructed by this paper convergesuniformly to the solution of its original problem with O(τ h~2).     

川西獐牙菜与抱茎獐牙菜中GFDA2酮的高效液相色谱分析

采用反相高效液相色谱法同时分离和测定了龙胆科獐牙菜属的川西獐牙菜和抱茎獐牙菜中几种GFDA2酮的含量。色谱柱为Kromasil C 18 （250 mm×4.60 mm i.d., 5 μ m）,流动相为甲醇 0.1%的磷酸水溶液（体积比为 73∶27 ）,流速1 mL/min ,检测波长260 nm,柱温20 ℃。实验结果表明,该方法具有很好的线性关系与精密度,方法简单、准确、实用性强。     

Numerical solution of nonlinear ordinary differential equation for a turning point problem

By using the method in[3],several useful estimations of the derivatives of the solutionof the boundary value problem for a nonlinear ordinary differential equation with a turningpoint are obtained.With the help of the technique in[4],the uniform convergence on thesmall parameterεfor a difference scheme is proved.At the end of this paper,a numericalexample is given.The numerical result coincides with theoretical analysis.     

小参数椭圆-抛物偏微分方程一致收敛差分格式的充要条件

本文研究小参数椭圆-抛物偏微分方程一致收敛差分格式的充要条件.     

The necessary and sufficient condition of uniformly convergent difference schemes for the elliptic-parabolic partial differential equation with a small parameter

This paper studies the necessary and sufficient condition of uniformly convergent difference scheme for the elliptic-parabolic partial differential equation with a small parameter.Communicated by Lin Zong-chi.     

小参数常微分方程守恒型差分格式的一致收敛性

本文考虑自共轭常微分方程奇异摄动边值问题,构造一族带拟合因子的差分格式,给出差分格式解一致收敛于微分方程解的充分条件,由此提出几个具体格式,在条件较弱的情况下,给出较高的一致收敛阶。