An application for a modified KdV equation by the decomposition method and finite element method
| Autor: | Turabi Geyikli, Dogan Kaya |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Applied Mathematics
Numerical analysis Mathematical analysis Finite element method Computational Mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Quadratic equation Soliton Decomposition method (constraint satisfaction) Galerkin method Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons Numerical stability Mathematics |
| Zdroj: | Applied Mathematics and Computation. 169:971-981 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2004.11.017 |
| Popis: | A numerical solution to a Modified Korteweg-de Vries (MKdV) equation is obtained using a ''lumped'' Galerkin method with quadratic B-spline finite element method (FEM) and using the Adomian's Decomposition Method (ADM). Test problems concerning the motion and interaction of soliton solutions are used to compare the FEM with the ADM. Classical problems concerning the development, motion and interaction of solitons are used to validate the methods. The present methods extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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