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Zbl 0990.65085
Al-Said, Eisa A.
Numerical solutions for system of third-order boundary value problems. (English)
[J] Int. J. Comput. Math. 78, No.1, 111-121 (2001). ISSN 0020-7160; ISSN 1029-0265/e

Author's summary: 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 show that it gives numerical results which are better than the other available results. A numerical example is presented to illustrate the applicability of the new method.
[Jialin Hong (Beijing)]

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
65L12 Finite difference methods for ODE
34B05 Linear boundary value problems of ODE
65K10 Optimization techniques (numerical methods)
49J40 Variational methods including variational inequalities
65L20 Stability of numerical methods for ODE
86A05 Hydrology, hydrography, oceanography

Keywords: finite difference technique; boundary value problems; odd obstacle problems; variational inequalities; oceanography; convergence; numerical examples

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Zentralblatt MATH Berlin [Germany]