Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients
The aim of this paper is to introduce a symbolic technique for the computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the l...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/518194 |
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| _version_ | 1832552244720959488 |
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| author | Juan F. Navarro Antonio Pérez-Carrió |
| author_facet | Juan F. Navarro Antonio Pérez-Carrió |
| author_sort | Juan F. Navarro |
| collection | DOAJ |
| description | The aim of this paper is to introduce a symbolic technique for the
computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed
via the variation of parameters method and, thus, constructed over
the exponential matrix of the linear system associated with the homogeneous equation. This matrix is also symbolically determined. The
accuracy of the symbolic solution is tested by comparing it with the
exact solution of a test problem. |
| format | Article |
| id | doaj-art-ac29cb2648c34079aa3280fc30c577a8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ac29cb2648c34079aa3280fc30c577a82025-02-03T05:59:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/518194518194Symbolic Solution to Complete Ordinary Differential Equations with Constant CoefficientsJuan F. Navarro0Antonio Pérez-Carrió1Department of Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, 03690 San Vicente del Raspeig, Alicante, SpainDepartment of Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, 03690 San Vicente del Raspeig, Alicante, SpainThe aim of this paper is to introduce a symbolic technique for the computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the linear system associated with the homogeneous equation. This matrix is also symbolically determined. The accuracy of the symbolic solution is tested by comparing it with the exact solution of a test problem.http://dx.doi.org/10.1155/2013/518194 |
| spellingShingle | Juan F. Navarro Antonio Pérez-Carrió Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients Journal of Applied Mathematics |
| title | Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients |
| title_full | Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients |
| title_fullStr | Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients |
| title_full_unstemmed | Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients |
| title_short | Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients |
| title_sort | symbolic solution to complete ordinary differential equations with constant coefficients |
| url | http://dx.doi.org/10.1155/2013/518194 |
| work_keys_str_mv | AT juanfnavarro symbolicsolutiontocompleteordinarydifferentialequationswithconstantcoefficients AT antonioperezcarrio symbolicsolutiontocompleteordinarydifferentialequationswithconstantcoefficients |