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Noor, Muhammad Aslam; Al-Said, Eisa; Noor, Khalida Inayat

Finite difference method for solving a system of third-order boundary value problems. (English) Zbl 1244.65157

J. Appl. Math. 2012, Article ID 351764, 10 p. (2012).
Summary: We develop a new-two-stage finite difference 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, draining and coating flow problems, and can be studied in the framework of variational inequalities. We show that the present method is of order three and give numerical results that are better than the other available results. Numerical example is presented to illustrate the applicability and efficiency of the new method.

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
49J40 Variational inequalities
35Q86 PDEs in connection with geophysics
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\textit{M. A. Noor} et al., J. Appl. Math. 2012, Article ID 351764, 10 p. (2012; Zbl 1244.65157)
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References:

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