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1998•International Journal of Computer MathematicsOpen access

Numerical solutions of third-order obstacle problems

Eisa Al-Said, Muhammad Aslam Noor, Th. M. Rassias

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Obstacle, Variational inequality, Obstacle problem, Mathematics, Order (exchange), Class (philosophy), Applied mathematics, Numerical analysis

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