Finite Difference Method for Solving a System ofThird-Order Boundary Value Problems
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 (Dunbar (1993) and Noor (1994), draining and coating flow problems (E....
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| Veröffentlicht in: | Journal of applied mathematics Jg. 2012; H. 2012; S. 1 - 10 |
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| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Cairo, Egypt
Hindawi Publishing Corporation
2012
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| ISSN: | 1110-757X, 1687-0042 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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 (Dunbar (1993) and Noor (1994), draining and coating flow problems (E. O. Tuck (1990) and L. W. Schwartz (1990)), 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. |
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| ISSN: | 1110-757X 1687-0042 |
| DOI: | 10.1155/2012/351764 |