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

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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