Numerical solutions of third-order obstacle problems

Abstract

It is known that a class of odd order obstacle problems in physical oceanography can be studied in the framework of variational inequality theory. In this paper, we show that variational inequalities related with third-order obstacle problems can be characterized by a system of variational equations without constraints, which are solved using modified finite difference technique. A comparison between our and other available results is also presented.

Keywords:

• Variational inequalities
• odd order obstacle problems
• finite difference technique

C.R. Categories:

• G.1.1
• G.1.2

1991 AMS Subject Classification:

• 49J40
• 65Ll2

^*Corresponding author.

^*Corresponding author.

Notes

^*Corresponding author.

Additional information

Notes on contributors

Eisa A. Al-Said

a

Th. M. Rassias

b