Trigonometric Tension B-Spline Method for the Solution of Problems in Calculus of Variations

被引：8
|
作者：
Alinia, N. [1 ]
Zarebnia, M. [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Math & Applicat, Ardebil 5619911367, Iran
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 05期
关键词：
calculus of variation; tension; B-spline; numerical method; SERIES DIRECT METHOD;
D O I：
10.1134/S0965542518050020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the tension B-spline collocation method is used for finding the solution of boundary value problems which arise from the problems of calculus of variations. The problems are reduced to an explicit system of algebraic equations by this approximation. We apply some numerical examples to illustrate the accuracy and implementation of the method.
引用
收藏
页码：631 / 641
页数：11
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