Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals
This article proposes Laplace transform-homotopy perturbation method (LTHPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions. After comparing figures between approximate and exact solutions, we will see that the proposed solutions are of high accuracy...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2013 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/2297 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2297 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Homotopy perturbation method info:eu-repo/classification/Inspec/Nonlinear differential equation info:eu-repo/classification/Inspec/Approximate solutions info:eu-repo/classification/Inspec/Laplace transform info:eu-repo/classification/Inspec/Laplace transform homotopy perturbation method info:eu-repo/classification/Inspec/Dirichlet info:eu-repo/classification/Inspec/Boundary condition info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | This article proposes Laplace transform-homotopy perturbation method (LTHPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions. After comparing figures between approximate and exact solutions, we will see that the proposed solutions are of high accuracy and, therefore, that LT-HPM is extremely efficient. |
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