长春大学学报(自然科学版)
長春大學學報(自然科學版)
장춘대학학보(자연과학판)
Journal of Changchun University
2015年
4期
65-67
,共3页
常微分方程%边值问题%差分格式%边界条件
常微分方程%邊值問題%差分格式%邊界條件
상미분방정%변치문제%차분격식%변계조건
ordinary differential equation%boundary value problem%difference scheme%boundary condition
差分法是求解常微分方程数值解的最重要方法之一. 本文对差分法的基本思想作了简要的阐述,并利用差分法求解了常微分方程的边值问题,给出了边界条件的两种处理方法. 实例证明用改进的方法求得的数值解具有较高的精度.
差分法是求解常微分方程數值解的最重要方法之一. 本文對差分法的基本思想作瞭簡要的闡述,併利用差分法求解瞭常微分方程的邊值問題,給齣瞭邊界條件的兩種處理方法. 實例證明用改進的方法求得的數值解具有較高的精度.
차분법시구해상미분방정수치해적최중요방법지일. 본문대차분법적기본사상작료간요적천술,병이용차분법구해료상미분방정적변치문제,급출료변계조건적량충처리방법. 실예증명용개진적방법구득적수치해구유교고적정도.
Difference method is one of the most important methods for numerical solution to ordinary differential equations.This paper makes a brief description on the basic idea of the differential method, and uses it to solve the boundary value problem of ordinary differ-ential equations.Two methods are given for dealing with the boundary conditions.The examples prove that the numerical solutions by the improved method have a high accuracy.