A New Approach to Approximate Solutions for Nonlinear Differential Equation
The question discussed in this study concerns one of the most helpful approximation methods, namely, the expansion of a solution of a differential equation in a series in powers of a small parameter. We used the Lindstedt-Poincaré perturbation method to construct a solution closer to uniformly valid...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/5129502 |
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| _version_ | 1849434633238740992 |
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| author | Safia Meftah |
| author_facet | Safia Meftah |
| author_sort | Safia Meftah |
| collection | DOAJ |
| description | The question discussed in this study concerns one of the most helpful approximation methods, namely, the expansion of a solution of a differential equation in a series in powers of a small parameter. We used the Lindstedt-Poincaré perturbation method to construct a solution closer to uniformly valid asymptotic expansions for periodic solutions of second-order nonlinear differential equations. |
| format | Article |
| id | doaj-art-e3dbce6878b74ba4bdf360620a5c4861 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e3dbce6878b74ba4bdf360620a5c48612025-08-20T03:26:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/51295025129502A New Approach to Approximate Solutions for Nonlinear Differential EquationSafia Meftah0Operators Theory and DPE Foundations and Applications Laboratory, Science Exact Faculty, Echahid Hamma Lakhdar University, P.O. Box 789, El Oued 39000, AlgeriaThe question discussed in this study concerns one of the most helpful approximation methods, namely, the expansion of a solution of a differential equation in a series in powers of a small parameter. We used the Lindstedt-Poincaré perturbation method to construct a solution closer to uniformly valid asymptotic expansions for periodic solutions of second-order nonlinear differential equations.http://dx.doi.org/10.1155/2018/5129502 |
| spellingShingle | Safia Meftah A New Approach to Approximate Solutions for Nonlinear Differential Equation International Journal of Mathematics and Mathematical Sciences |
| title | A New Approach to Approximate Solutions for Nonlinear Differential Equation |
| title_full | A New Approach to Approximate Solutions for Nonlinear Differential Equation |
| title_fullStr | A New Approach to Approximate Solutions for Nonlinear Differential Equation |
| title_full_unstemmed | A New Approach to Approximate Solutions for Nonlinear Differential Equation |
| title_short | A New Approach to Approximate Solutions for Nonlinear Differential Equation |
| title_sort | new approach to approximate solutions for nonlinear differential equation |
| url | http://dx.doi.org/10.1155/2018/5129502 |
| work_keys_str_mv | AT safiameftah anewapproachtoapproximatesolutionsfornonlineardifferentialequation AT safiameftah newapproachtoapproximatesolutionsfornonlineardifferentialequation |