一类常微分方程右间断问题的数值求解  

Numerical Solution of the Right Discontinuity Problem for a Class of Ordinary Differential Equations with Boundary Conditions

作　　者：于水源[1] 么焕民[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2016年第1期22-24,共3页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金项目资助(A201411)

摘　　要：在建立数学模型研究复杂的系统工程学科时,为了获得设计的数据,常常会遇到常微分方程右端函数间断的困难.求出符合要求的近似解,也是有一定实际意义的.针对带有边值条件的二阶常微分方程右间断问题提出的数值解法,其中主要解决的是右端函数含有第二类间断点中的无穷间断点.基函数选取的不同会影响数值解的精确程度,通过数值算例说明了方法的有效性.In order to obtain the design data,it is often difficult for the right side of the two order ordinary differential equation to establish a mathematical model to study the complex system engineering discipline. The approximate solution is in accord with the requirement having some practical significance. In this paper,numerical solution method is presented for solving the problem of the right discontinuity problem of two order ordinary differential equations with boundary conditions,and the right side function is mainly to have second kinds of discontinuities. The choice of basis functions can affect the accuracy of the numerical solution,and the validity of this method is demonstrated by a numerical example.

关 键 词：配置法 基函数 右间断 

分 类 号：O241.81[理学—计算数学]