Numerical Solution of Obstacle Problems by B-Spline Functions
G.B Loghmani, F Mahdifar, S.R Alavizadeh
DOI: 10.4236/ajcm.2011.12006   PDF    HTML     4,688 Downloads   11,156 Views   Citations

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.

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Loghmani, G. , Mahdifar, F. and Alavizadeh, S. (2011) Numerical Solution of Obstacle Problems by B-Spline Functions. American Journal of Computational Mathematics, 1, 55-62. doi: 10.4236/ajcm.2011.12006.

Conflicts of Interest

The authors declare no conflicts of interest.

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