A new perturbation technique in solution of nonlinear differential equations by using variable transformation
A perturbation algorithm using a new variable transformation is introduced. This transformation enables control of the independent variable of the problem. The problems are solved with new transformation: Classical Duffing equation with cubic nonlinear term and a singular perturbation problem. Resul...
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| Veröffentlicht in: | Applied mathematics and computation 2014-01, Vol.227, p.422-427 |
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| container_end_page | 427 |
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| container_title | Applied mathematics and computation |
| container_volume | 227 |
| creator | Elmas, N. Boyaci, H. |
| description | A perturbation algorithm using a new variable transformation is introduced. This transformation enables control of the independent variable of the problem. The problems are solved with new transformation: Classical Duffing equation with cubic nonlinear term and a singular perturbation problem. Results of multiple scales, Lindstedt Poincare method, new method and numerical solutions are contrasted. |
| doi_str_mv | 10.1016/j.amc.2013.11.035 |
| format | Article |
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This transformation enables control of the independent variable of the problem. The problems are solved with new transformation: Classical Duffing equation with cubic nonlinear term and a singular perturbation problem. 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| fulltext | fulltext |
| identifier | ISSN: 0096-3003 |
| ispartof | Applied mathematics and computation, 2014-01, Vol.227, p.422-427 |
| issn | 0096-3003 1873-5649 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1513424408 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Algorithms Differential equations Duffing equation Lindstedt Poincare method Mathematical models Multiple scales method New variable transformation Nonlinearity Numerical solutions Perturbation methods Singular perturbation Transformations |
| title | A new perturbation technique in solution of nonlinear differential equations by using variable transformation |
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