Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines
| Autor: | H. O. Bakodah, M. A. Banaja |
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| Rok vydání: | 2015 |
| Předmět: |
Article Subject
lcsh:Mathematics General Mathematics Method of lines Mathematical analysis General Engineering Motion (geometry) Von Neumann stability analysis lcsh:QA1-939 Wave equation Waves and shallow water Nonlinear system Runge–Kutta methods Exact solutions in general relativity lcsh:TA1-2040 lcsh:Engineering (General). Civil engineering (General) Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2015 (2015) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2015/274579 |
| Popis: | The equal width (EW) equation governs nonlinear wave phenomena like waves in shallow water. Numerical solution of the (EW) equation is obtained by using the method of lines (MOL) based on Runge-Kutta integration. Using von Neumann stability analysis, the scheme is found to be unconditionally stable. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. The three invariants of the motion are evaluated to determine the conservation properties of the generated scheme. Accuracy of the proposed method is discussed by computing theL2andL∞error norms. The results are found in good agreement with exact solution. |
| Databáze: | OpenAIRE |
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