Numerical Solution of High Order Bernoulli Boundary Value Problems
For the numerical solution of high order boundary value problems with special boundary conditions a general procedure to determine collocation methods is derived and studied. Computation of the integrals which appear in the coefficients is generated by a recurrence formula and no integrals are invol...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/276585 |
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| _version_ | 1849397731558162432 |
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| author | F. Costabile A. Napoli |
| author_facet | F. Costabile A. Napoli |
| author_sort | F. Costabile |
| collection | DOAJ |
| description | For the numerical solution of high order boundary value problems with special boundary conditions a general procedure to determine collocation methods is derived and studied. Computation of the integrals which appear in the coefficients is generated by a recurrence formula and no integrals are involved in the calculation. Several numerical examples are presented to demonstrate the practical usefulness of the proposed method. |
| format | Article |
| id | doaj-art-a85e77eabcdb49378b8d698e4416b132 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a85e77eabcdb49378b8d698e4416b1322025-08-20T03:38:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/276585276585Numerical Solution of High Order Bernoulli Boundary Value ProblemsF. Costabile0A. Napoli1Department of Mathematics, University of Calabria, 87036 Rende, ItalyDepartment of Mathematics, University of Calabria, 87036 Rende, ItalyFor the numerical solution of high order boundary value problems with special boundary conditions a general procedure to determine collocation methods is derived and studied. Computation of the integrals which appear in the coefficients is generated by a recurrence formula and no integrals are involved in the calculation. Several numerical examples are presented to demonstrate the practical usefulness of the proposed method.http://dx.doi.org/10.1155/2014/276585 |
| spellingShingle | F. Costabile A. Napoli Numerical Solution of High Order Bernoulli Boundary Value Problems Journal of Applied Mathematics |
| title | Numerical Solution of High Order Bernoulli Boundary Value Problems |
| title_full | Numerical Solution of High Order Bernoulli Boundary Value Problems |
| title_fullStr | Numerical Solution of High Order Bernoulli Boundary Value Problems |
| title_full_unstemmed | Numerical Solution of High Order Bernoulli Boundary Value Problems |
| title_short | Numerical Solution of High Order Bernoulli Boundary Value Problems |
| title_sort | numerical solution of high order bernoulli boundary value problems |
| url | http://dx.doi.org/10.1155/2014/276585 |
| work_keys_str_mv | AT fcostabile numericalsolutionofhighorderbernoulliboundaryvalueproblems AT anapoli numericalsolutionofhighorderbernoulliboundaryvalueproblems |