Numerical Solution of the Modified Equal Width Wave Equation
Numerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. Accuracy of the proposed method is discussed by co...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/587208 |
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| _version_ | 1850220281914720256 |
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| author | Seydi Battal Gazi Karakoç Turabi Geyikli |
| author_facet | Seydi Battal Gazi Karakoç Turabi Geyikli |
| author_sort | Seydi Battal Gazi Karakoç |
| collection | DOAJ |
| description | Numerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. Accuracy of the proposed method is discussed by computing the numerical conserved laws 𝐿2 and 𝐿∞ error norms. The numerical results are found in good agreement with exact solution. A linear stability analysis of the scheme is also investigated. |
| format | Article |
| id | doaj-art-774a08df1f0843fbbafc279aaca2a6d8 |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-774a08df1f0843fbbafc279aaca2a6d82025-08-20T02:07:08ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/587208587208Numerical Solution of the Modified Equal Width Wave EquationSeydi Battal Gazi Karakoç0Turabi Geyikli1Department of Mathematics, Faculty of Education, İnönü University, 44280 Malatya, TurkeyDepartment of Mathematics, Faculty of Education, İnönü University, 44280 Malatya, TurkeyNumerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. Accuracy of the proposed method is discussed by computing the numerical conserved laws 𝐿2 and 𝐿∞ error norms. The numerical results are found in good agreement with exact solution. A linear stability analysis of the scheme is also investigated.http://dx.doi.org/10.1155/2012/587208 |
| spellingShingle | Seydi Battal Gazi Karakoç Turabi Geyikli Numerical Solution of the Modified Equal Width Wave Equation International Journal of Differential Equations |
| title | Numerical Solution of the Modified Equal Width Wave Equation |
| title_full | Numerical Solution of the Modified Equal Width Wave Equation |
| title_fullStr | Numerical Solution of the Modified Equal Width Wave Equation |
| title_full_unstemmed | Numerical Solution of the Modified Equal Width Wave Equation |
| title_short | Numerical Solution of the Modified Equal Width Wave Equation |
| title_sort | numerical solution of the modified equal width wave equation |
| url | http://dx.doi.org/10.1155/2012/587208 |
| work_keys_str_mv | AT seydibattalgazikarakoc numericalsolutionofthemodifiedequalwidthwaveequation AT turabigeyikli numericalsolutionofthemodifiedequalwidthwaveequation |