Author(s)

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

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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.

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

G. Loghmani, F. Mahdifar and S. Alavizadeh, "Numerical Solution of Obstacle Problems by B-Spline Functions," American Journal of Computational Mathematics, Vol. 1 No. 2, 2011, pp. 55-62. doi: 10.4236/ajcm.2011.12006.