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Numerical solutions of third-order system of boundary value problems. (English) Zbl 1123.65074

Summary: We develop a two stage numerical method for computing approximate solutions of a system of third-order boundary value problems associated with odd order obstacle problems. Such problems arise in physical oceanography and can be studied in the framework of variational inequality theory. We show that the present method is of order two and gives numerical results which are better than the other available results. A numerical example is presented to illustrate the applicability of the new method. Our results can be viewed as an important and significant refinement of previously known results.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L12 Finite difference and finite volume methods for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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