两点边值问题的差分方法及快速求解  

DIFFERENCE METHOD FOR TWO-POINTS BOUNDARY VALUE PROBLEM AND FAST SOLUTION

作　　者：赵秉新[1] 郑来运[2] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]宁夏大学机械工程学院,宁夏银川750021

出　　处：《华南师范大学学报（自然科学版）》2010年第4期27-30,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：宁夏自然科学基金项目(NZ0938);宁夏大学自然科学基金项目(ZR200809)

摘　　要：利用Richardson外推法,将求解两点边值问题的二阶中心格式和高精度差分格式推广到更高精度.通过数值算例,提出了使用Excel电子表格软件进行快速求解的方法,并与编制的计算程序的计算结果进行了对比.结果表明,使用Excel软件求解,能够快速得到满意的结果.The classical second-order centeral difference scheme and high-accuracy difference scheme on solving two-point boundary value problems were extended to more high precision by Richardson extrapolation.By a numerical example,a rapid sowing method was proposed by using Excel,and the numerical solution was compared with those by programming solving.The results showed that satisfactory results can be obtained quickly by using Excel software.

关 键 词：边值问题 差分方法 快速求解 

分 类 号：O175.8[理学—数学] O241.8[理学—基础数学]