VB实现常微分方程初值求解的算法

本文以计算机为辅助计算工具，分别使用Euler算法、改进Euler算法以及经典Runge-Kutta算法实现对常微分方程的初值问题进行数值求解。     

Computation of one-dimensional consolidation of doublelayered ground using differential quadrature method

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高阶中立型泛函微分方程的非振动解

本文考察方程(x(t)+c(t)x(t-d))~(n)-f(t,x(g_1(t)),…,x(g_m(t))=0的非振动解。首先,在-1相似文献   

溴化镝丙氨酸配合物热分解反应的热分析研究

在非等温条件下,采用DSC法研究了DyBr3·3Ala·2.5H2O配合物的热分解动力学,计算了热分解过程的活化能;分析了升温速率为10 k/min的DSC曲线,获得了热分解过程相应的动力学参数(E、lnA)及可能的热分解机理及机理函数.     

二阶微分包含三点边值问题解的存在性

运用Bohnenblus-Karlin不动点定理研究如下二阶微分包含三点边值问题x″∈F(t,x,x′),t∈[0,1]x′(0)=0,x(1)=αx(η)解的存在性.     

MATLAB在复杂化学反应模拟中的应用

解刚性常微分方程组已成为研究复杂化学反应的重要手段，本讨论使用MATLAB的ode23s函数对复杂化学反应进行数值模拟的方法，并对硫化学反应非线性动力学行为进行了模拟研究。     

Computation of one-dimensional consolidation of double layered ground using differential quadrature method

The authors give the solution to the problem of one-dimensional consolidation of double-layered ground with the use of the differential quadrature method. Case studies showed that the computational results for pore-water pressure in soil layer agreed with those of analytical solution; and that in the computational results for the interface of soil layer also agreed with those of the analytical solution except for the small discrepancies during shortly after the start of computation. The advantages of the solution presented in this paper are that compared with the analytical solution, it avoids the cumbersome work in solving the transcendental equation for eigenvalues, and in the case of the Laplace transform solution, it can resolve the precision problem in the numerical solution of long time inverse Laplace transform. Because of the matrix form of the solution in this paper, it is convenient for formulating computational program for engineering practice. The formulas for calculating double-layered ground consolidation may be easily extended to the case of multi-layered soils. Project (No. RC9609) supported by the Zhejiang Provincial Natural Science Foundation of China     

平面上拟线性偏微分方程组弱解的有界性

本文假定通常的椭圆条件仅在无穷远处成立,证明了平面上一类二阶拟线性偏微分方程组弱解是有界的。     

一类时滞中立型泛函微分方程的周期解的存在性和全局吸引性

利用重合度理论中的延拓定理和Lyapunov泛函方法,获得了一类时滞中立型泛函微分方程周期解的存在性和全局吸引性的一些充分条件,推广和改进了已有文献的相关结果.     

微分法在一类特殊常数项级数求和中的应用

本文介绍了一种通过构造幂级数求解常数项级数和的方法。该方法运用逐项微分法将幂级数的收敛和函数转化为相应的常系数线性微分方程,求出微分方程的通解从而得到相应常数项级数之和。并给出了相应的定理和例题来说明这一方法。