Collocation for High-Order Differential Equations with Lidstone Boundary Conditions
A class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation method which provides globally continuous differentiable solutions. Computation of the integrals which appear in the coef...
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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/10.1155/2012/120792 |
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| _version_ | 1832558996107558912 |
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| author | Francesco Costabile Anna Napoli |
| author_facet | Francesco Costabile Anna Napoli |
| author_sort | Francesco Costabile |
| collection | DOAJ |
| description | A class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation method which provides globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients is generated by a recurrence formula. Numerical experiments support theoretical results. |
| format | Article |
| id | doaj-art-55bb6d8cb7fa470fabf891d586437cb4 |
| 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-55bb6d8cb7fa470fabf891d586437cb42025-02-03T01:31:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/120792120792Collocation for High-Order Differential Equations with Lidstone Boundary ConditionsFrancesco Costabile0Anna Napoli1Department of Mathematics, University of Calabria, 87036 Rende, ItalyDepartment of Mathematics, University of Calabria, 87036 Rende, ItalyA class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation method which provides globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients is generated by a recurrence formula. Numerical experiments support theoretical results.http://dx.doi.org/10.1155/2012/120792 |
| spellingShingle | Francesco Costabile Anna Napoli Collocation for High-Order Differential Equations with Lidstone Boundary Conditions Journal of Applied Mathematics |
| title | Collocation for High-Order Differential Equations with Lidstone Boundary Conditions |
| title_full | Collocation for High-Order Differential Equations with Lidstone Boundary Conditions |
| title_fullStr | Collocation for High-Order Differential Equations with Lidstone Boundary Conditions |
| title_full_unstemmed | Collocation for High-Order Differential Equations with Lidstone Boundary Conditions |
| title_short | Collocation for High-Order Differential Equations with Lidstone Boundary Conditions |
| title_sort | collocation for high order differential equations with lidstone boundary conditions |
| url | http://dx.doi.org/10.1155/2012/120792 |
| work_keys_str_mv | AT francescocostabile collocationforhighorderdifferentialequationswithlidstoneboundaryconditions AT annanapoli collocationforhighorderdifferentialequationswithlidstoneboundaryconditions |