Comparison of three semi-analytical methods for solving (1+1)-dimensional dispersive long wave equations
| Autor: | Dogan Kaya, Ibrahim E. Inan, Yavuz Ugurlu |
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| Rok vydání: | 2011 |
| Předmět: |
Computational Mathematics
Work (thermodynamics) Computational Theory and Mathematics Series (mathematics) Modeling and Simulation Mathematical analysis Convergence (routing) One-dimensional space Decomposition method (constraint satisfaction) Wave equation Adomian decomposition method Homotopy analysis method Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 61:1278-1290 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2010.12.026 |
| Popis: | In this work, we consider how Adomian's decomposition method (ADM), the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) can be used to investigate wave solutions of (1+1)-dimensional dispersive long wave equations. It is also worth noting that the advantage of the approximation of the series methodologies is a fast convergence of the solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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