Finite Difference Method for Solving a System of Third-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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/351764 |
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| _version_ | 1832565265178558464 |
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| author | Muhammad Aslam Noor Eisa Al-Said Khalida Inayat Noor |
| author_facet | Muhammad Aslam Noor Eisa Al-Said Khalida Inayat Noor |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-db3da7f1893949ab8f3f8465ee5a2042 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-db3da7f1893949ab8f3f8465ee5a20422025-02-03T01:08:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/351764351764Finite Difference Method for Solving a System of Third-Order Boundary Value ProblemsMuhammad Aslam Noor0Eisa Al-Said1Khalida Inayat Noor2Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanWe 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.http://dx.doi.org/10.1155/2012/351764 |
| spellingShingle | Muhammad Aslam Noor Eisa Al-Said Khalida Inayat Noor Finite Difference Method for Solving a System of Third-Order Boundary Value Problems Journal of Applied Mathematics |
| title | Finite Difference Method for Solving a System of
Third-Order Boundary Value Problems |
| title_full | Finite Difference Method for Solving a System of
Third-Order Boundary Value Problems |
| title_fullStr | Finite Difference Method for Solving a System of
Third-Order Boundary Value Problems |
| title_full_unstemmed | Finite Difference Method for Solving a System of
Third-Order Boundary Value Problems |
| title_short | Finite Difference Method for Solving a System of
Third-Order Boundary Value Problems |
| title_sort | finite difference method for solving a system of third order boundary value problems |
| url | http://dx.doi.org/10.1155/2012/351764 |
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