Numerical solutions for system of third-order boundary value problems

Abstract

We develop a numerical method for computing approximations for the solutions of a system of third order boundary value problems associated with odd order obstacle problems. Such a problem arise in physical oceanography and can be studied in the framework of variational inequality theory. We study the convergence analysis of the present method and we show that it gives numerical results which are better than the other available results. Numerical example is presented to illustrate the applicability of the new method.

Keywords:

• Finite difference technique
• Boundary value problems
• Odd obstacle problems
• Variational inequalities

1991 AMS Subject Classifications:

• 65L12
• 49J40

C.R. Categories:

• G1.1
• G1.2

^*This work was supported by the Research Center Project No.: Math/1419/12.

^† [email protected]

^*This work was supported by the Research Center Project No.: Math/1419/12.

^† [email protected]

Notes

^*This work was supported by the Research Center Project No.: Math/1419/12.

^† [email protected]