Extended cubic uniform B-spline for a class of singular boundary value problems

被引：13
|
作者：
Goh, Joan [1 ]
Majid, Ahmad Abd. [1 ]
Ismail, Ahmad Izani Md. [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
来源：
SCIENCEASIA | 2011年 / 37卷 / 01期
关键词：
differential equation; free parameter;
D O I：
10.2306/scienceasia1513-1874.2011.37.079
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
B-splines have been widely used to approximate solutions to differential equations. In this paper, a class of singular boundary value problems are treated by using extended cubic uniform B-spline approximations. The advantage of using an extended cubic B-spline rather the ordinary B-spline is that it introduces one additional free parameter. For a number of examples where exact solutions are known, the solutions obtained using the extended B-splines are found to be better approximations than those obtained using ordinary B-splines.
引用
收藏
页码：79 / 82
页数：4
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