Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method
We derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutio...
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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/10.1155/2013/987905 |
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| _version_ | 1832563044327096320 |
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| author | Chein-Shan Liu |
| author_facet | Chein-Shan Liu |
| author_sort | Chein-Shan Liu |
| collection | DOAJ |
| description | We derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations.
Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions. |
| format | Article |
| id | doaj-art-a5132d2a353d4506a256eb7c4dffe987 |
| 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-a5132d2a353d4506a256eb7c4dffe9872025-02-03T01:21:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/987905987905Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group MethodChein-Shan Liu0Department of Civil Engineering, National Taiwan University, Taipei, TaiwanWe derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions.http://dx.doi.org/10.1155/2013/987905 |
| spellingShingle | Chein-Shan Liu Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method Journal of Applied Mathematics |
| title | Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method |
| title_full | Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method |
| title_fullStr | Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method |
| title_full_unstemmed | Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method |
| title_short | Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method |
| title_sort | solving nonlinear differential algebraic equations by an implicit lie group method |
| url | http://dx.doi.org/10.1155/2013/987905 |
| work_keys_str_mv | AT cheinshanliu solvingnonlineardifferentialalgebraicequationsbyanimplicitliegroupmethod |