两点边值问题的差分方法及快速求解

基金项目:

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

详细信息

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

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.结果表明使用人人熟悉的Excel软件求解，能够快速得到满意的结果.
- 边值问题 /
- 差分方法 /
- 快速求解
Abstract: Two methods of solving two boundary value problems have been generalized to more precision by Richardson extrapolation, which are the classical second-order central difference scheme and high-accuracy difference scheme. By a numerical example, a rapid solving method is proposed by using Excel spreadsheet software. The results showed that the use of the familiar Excel software can quickly get the satisfactory results.
- boundary value problems /
- difference method /
- fast solution