Quintic B-spline for the numerical solution of the good Boussinesq equation
A numerical method is developed to solve the nonlinear Boussinesq equation using the quintic B-spline collocation method. Applying the Von Neumann stability analysis, the proposed method is shown to be unconditionally stable. An example has been considered to illustrate the efficiency of the method...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2014-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000916 |
| _version_ | 1819135789263486976 |
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| author | Shahid S. Siddiqi Saima Arshed |
| author_facet | Shahid S. Siddiqi Saima Arshed |
| author_sort | Shahid S. Siddiqi |
| collection | DOAJ |
| description | A numerical method is developed to solve the nonlinear Boussinesq equation using the quintic B-spline collocation method. Applying the Von Neumann stability analysis, the proposed method is shown to be unconditionally stable. An example has been considered to illustrate the efficiency of the method developed. |
| first_indexed | 2024-12-22T10:24:40Z |
| format | Article |
| id | doaj.art-52aba0ccdc9245b9ae2485f020e07475 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-22T10:24:40Z |
| publishDate | 2014-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-52aba0ccdc9245b9ae2485f020e074752022-12-21T18:29:31ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-07-0122220921310.1016/j.joems.2013.06.015Quintic B-spline for the numerical solution of the good Boussinesq equationShahid S. SiddiqiSaima ArshedA numerical method is developed to solve the nonlinear Boussinesq equation using the quintic B-spline collocation method. Applying the Von Neumann stability analysis, the proposed method is shown to be unconditionally stable. An example has been considered to illustrate the efficiency of the method developed.http://www.sciencedirect.com/science/article/pii/S1110256X13000916Quintic B-splineCollocation methodStability analysisSolitonFinite differenceBoussinesq equation |
| spellingShingle | Shahid S. Siddiqi Saima Arshed Quintic B-spline for the numerical solution of the good Boussinesq equation Journal of the Egyptian Mathematical Society Quintic B-spline Collocation method Stability analysis Soliton Finite difference Boussinesq equation |
| title | Quintic B-spline for the numerical solution of the good Boussinesq equation |
| title_full | Quintic B-spline for the numerical solution of the good Boussinesq equation |
| title_fullStr | Quintic B-spline for the numerical solution of the good Boussinesq equation |
| title_full_unstemmed | Quintic B-spline for the numerical solution of the good Boussinesq equation |
| title_short | Quintic B-spline for the numerical solution of the good Boussinesq equation |
| title_sort | quintic b spline for the numerical solution of the good boussinesq equation |
| topic | Quintic B-spline Collocation method Stability analysis Soliton Finite difference Boussinesq equation |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000916 |
| work_keys_str_mv | AT shahidssiddiqi quinticbsplineforthenumericalsolutionofthegoodboussinesqequation AT saimaarshed quinticbsplineforthenumericalsolutionofthegoodboussinesqequation |