Use of Cubic B-Spline in Approximating Solutions of Boundary Value Problems

被引：0
|
作者：
Munguia, Maria [1 ]
Bhatta, Dambaru [2 ]
机构：
[1] South Texas Coll, Dept Math, Mcallen, TX 78501 USA
[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2015年 / 10卷 / 02期
关键词：
Cubic spline; B-spline; Runge-Kutta method; differential equations; boundary value;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here we investigate the use of cubic B-spline functions in solving boundary value problems. First, we derive the linear, quadratic, and cubic B-spline functions. Then we use the cubic B-spline functions to solve second order linear boundary value problems. We consider constant coefficient and variable coefficient cases with non-homogeneous boundary conditions for ordinary differential equations. We also use this numerical method for the space variable to obtain solutions for second order linear partial differential equations. Numerical results for various cases are presented and compared with exact solutions.
引用
收藏
页码：750 / 771
页数：22
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