A Laplace decomposition algorithm applied to a class of nonlinear differential equations
In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples. The results assert that this scheme is...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X01000183 |
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doaj-9ac3d4b037904196a7fbfc8e98ef6e402020-11-24T23:58:41ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422001-01-011414115510.1155/S1110757X01000183A Laplace decomposition algorithm applied to a class of nonlinear differential equationsSuheil A. Khuri0Department of Computer Science, Mathematics and Statistics, American University of Sharjah, United Arab EmiratesIn this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples. The results assert that this scheme is rapidly convergent and quite accurate by which it approximates the solution using only few terms of its iterative scheme.http://dx.doi.org/10.1155/S1110757X01000183 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Suheil A. Khuri |
| spellingShingle |
Suheil A. Khuri A Laplace decomposition algorithm applied to a class of nonlinear differential equations Journal of Applied Mathematics |
| author_facet |
Suheil A. Khuri |
| author_sort |
Suheil A. Khuri |
| title |
A Laplace decomposition algorithm applied to a class of nonlinear differential equations |
| title_short |
A Laplace decomposition algorithm applied to a class of nonlinear differential equations |
| title_full |
A Laplace decomposition algorithm applied to a class of nonlinear differential equations |
| title_fullStr |
A Laplace decomposition algorithm applied to a class of nonlinear differential equations |
| title_full_unstemmed |
A Laplace decomposition algorithm applied to a class of nonlinear differential equations |
| title_sort |
laplace decomposition algorithm applied to a class of nonlinear differential equations |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2001-01-01 |
| description |
In this paper, a numerical Laplace transform algorithm which is
based on the decomposition method is introduced for the
approximate solution of a class of nonlinear differential
equations. The technique is described and illustrated with some
numerical examples. The results assert that this scheme is
rapidly convergent and quite accurate by which it approximates
the solution using only few terms of its iterative scheme. |
| url |
http://dx.doi.org/10.1155/S1110757X01000183 |
| work_keys_str_mv |
AT suheilakhuri alaplacedecompositionalgorithmappliedtoaclassofnonlineardifferentialequations AT suheilakhuri laplacedecompositionalgorithmappliedtoaclassofnonlineardifferentialequations |
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