论文信息 - Quartic splines solutions of third-order obstacle problems

Quartic splines solutions of third-order obstacle problems

In this paper, we develop a new numerical method for solving a system of third-order boundary value problems associated with third-order obstacle problems using the quartic splines. Its convergence analysis is also considered. To illustrate its efficiency, we give an example, which shows that this method gives better results.

Muhammad Aslam Noor | Eisa A. Al-Said

[1] M. Noor. General variational inequalities , 1988 .

[2] Muhammad Aslam Noor,et al. Numerical solutions of third-order obstacle problems , 1998, Int. J. Comput. Math..

[3] Muhammed Aslam Noor,et al. A numerical approach for odd-order obstacle problems , 1994 .

[4] Eisa A. Al-Said. Numerical solutions for system of third-order boundary value problems , 2001, Int. J. Comput. Math..

[5] Muhammad Aslam Noor,et al. Cubic splines method for a system of third-order boundary value problems , 2003, Appl. Math. Comput..

[6] M. Noor,et al. Some aspects of variational inequalities , 1993 .

[7] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[8] Enzo Tonti,et al. Variational formulation for every nonlinear problem , 1984 .

[9] E. Al-Said,et al. Finite difference scheme for variational inequalities , 1996 .

[10] M. Rahman. Ocean waves engineering , 1994 .

[11] G. Stampacchia,et al. On the regularity of the solution of a variational inequality , 1969 .

[12] R. Glowinski,et al. Numerical Analysis of Variational Inequalities , 1981 .

[13] M. A. Noor,et al. Finite-Difference Method for a System of Third-Order Boundary-Value Problems , 2002 .