Numerical study of the improved Boussinesq equation
| Autor: | H. El-Zoheiry |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Partial differential equation
Tridiagonal matrix General Mathematics Applied Mathematics Wave packet Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Finite difference equations Taylor–Goldstein equation Alternating direction implicit method Crank–Nicolson method Boussinesq approximation (water waves) Mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 14:377-384 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/s0960-0779(00)00271-x |
| Popis: | A three-level iterative scheme based on the compact implicit method is devised for solving the improved Boussinesq equation. The scheme has order ( h 4 + h 2 k 2 + k 2 ) accuracy and retains the desirable tridiagonal nature of the finite difference equations. A solitary wave solution of the equation is used to examine the accuracy and efficiency of the proposed method. The dynamics of waves having various initial wave packets are discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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