A General Solution for Troesch’s Problem
The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch’s problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysi...
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2012 |
| Country: | México |
| Institution: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repository: | Repositorio Institucional del INAOE |
| Language: | English |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/2111 |
| Online Access: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2111 |
| Access Level: | Open access |
| Keyword: | info:eu-repo/classification/Inspec/Homotopy perturbation method info:eu-repo/classification/Inspec/Nonlinear differential equation info:eu-repo/classification/Inspec/Troesch’s problem info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Summary: | The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch’s problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysis method, Laplace transform decomposition method, and HPM method, the proposed solution shows the highest degree of accuracy in the results for a remarkable wide range of values of Troesch’s parameter. |
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