An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method
A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error no...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/596406 |
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| _version_ | 1832567113184706560 |
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| author | Seydi Battal Gazi Karakoç Turgut Ak Halil Zeybek |
| author_facet | Seydi Battal Gazi Karakoç Turgut Ak Halil Zeybek |
| author_sort | Seydi Battal Gazi Karakoç |
| collection | DOAJ |
| description | A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms L2 and L∞ and the invariants I1, I2, and I3. Also, we have studied the Maxwellian initial condition pulse. The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated. |
| format | Article |
| id | doaj-art-9172b4c136d74dae963cdb6d0ef54695 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9172b4c136d74dae963cdb6d0ef546952025-02-03T01:02:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/596406596406An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation MethodSeydi Battal Gazi Karakoç0Turgut Ak1Halil Zeybek2Nevsehir Haci Bektas Veli University, 50300 Nevsehir, TurkeyArmutlu Vocational High School, Yalova University, 77500 Yalova, TurkeyFaculty of Computer Science, Abdullah Gül University, 38039 Kayseri, TurkeyA septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms L2 and L∞ and the invariants I1, I2, and I3. Also, we have studied the Maxwellian initial condition pulse. The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated.http://dx.doi.org/10.1155/2014/596406 |
| spellingShingle | Seydi Battal Gazi Karakoç Turgut Ak Halil Zeybek An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method Abstract and Applied Analysis |
| title | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method |
| title_full | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method |
| title_fullStr | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method |
| title_full_unstemmed | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method |
| title_short | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method |
| title_sort | efficient approach to numerical study of the mrlw equation with b spline collocation method |
| url | http://dx.doi.org/10.1155/2014/596406 |
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