Numerical Solution of Obstacle Problems by B-Spline Functions

G.B Loghmani, F Mahdifar, S.R Alavizadeh

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DOI: 10.4236/ajcm.2011.12006                

Abstract

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.

Keywords

Least Square Method, Uniform B-Splines, Boundary Value Problems, Obstacle Problems

Conflicts of Interest

The authors declare no conflicts of interest.

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