A General Solution for Troesch's Problem
| Autor: | Hector Vazquez-Leal, Yasir Khan, Guillermo Fernández-Anaya, Agustín Herrera-May, Arturo Sarmiento-Reyes, Uriel Filobello-Nino, Víctor-M. Jimenez-Fernández, Domitilo Pereyra-Díaz |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Degree (graph theory)
Laplace transform Article Subject General Mathematics lcsh:Mathematics Mathematical analysis General Engineering lcsh:QA1-939 Nonlinear differential equations Range (mathematics) lcsh:TA1-2040 Decomposition method (constraint satisfaction) Homotopy perturbation method lcsh:Engineering (General). Civil engineering (General) Approximate solution Homotopy analysis method Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2012 (2012) |
| ISSN: | 1563-5147 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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