Numerical solutions of a system of fourth order boundary value problems

Abstract

It is known that contact, obstacle and unilateral problems arising in different branches of pure and applied sciences can be studied in the framework of variational inequalities. In this paper, we show that a class of variational inequalities related to contact problems in elastostatics can be characterized by a sequence of variational equations, which are solved using finite difference method derived by Pade' approximant.

Keywords:

• Contact problems
• variational inequalities
• Pade' approximant
• finite differences technique

C.R. Categories::

• G1.1
• G1.2
• G1.7

1991 AMS Mathematical Subject Classification::

• 49J40
• 65L12