Numerical Solution of Obstacle Problems by B-Spline Functions

• 作者: F Mahdifar G.B Loghmani S.R Alavizadeh
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Least SQUARE Method UNIFORM B-SPLINES Boundary Value PROBLEMS OBSTACLE PROBLEMS
• 年，卷（期）: 2011,（2）
• 页码范围: 55-62
• 页数: 8页
• 分类号: O1

摘要

In this study, we use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact problems. The problem can easily convert to an optimal control problem. Then a convergent approximate solution is constructed such that the exact boundary conditions are satisfied. The numerical examples and computational results illustrate and guarantee a higher accuracy for this technique.