THE USE OF QUARTIC SPLINES IN THE NUMERICAL-SOLUTION OF A 4TH-ORDER BOUNDARY-VALUE PROBLEM

被引：48

作者：

USMANI, RA ^{[1
]}

机构：

[1] UNIV MANITOBA,DEPT APPL MATH,WINNIPEG R3T 2N2,MANITOBA,CANADA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 44卷 / 02期

关键词：

FINITE-DIFFERENCE METHOD; MONOTONE MATRIX; QUARTIC SPLINE; 2-POINT BOUNDARY VALUE PROBLEM;

D O I：

10.1016/0377-0427(92)90010-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper derives via uniform quartic polynomial splines a few new consistency relations connecting the quartic spline function values at midknots and the corresponding values of the second and fourth derivatives, respectively. It is shown how these relations may be used in an algorithm for computing approximations to the solution and its higher derivatives for a linear fourth-order boundary value problem. Two numerical illustrations are also included to demonstrate the practical usefulness of our algorithm.

引用

页码：187 / 199

页数：13

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