Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm
The current article considers the sextic B-spline collocation methods (SBCM1 and SBCM2) to approximate the solution of the modified regularized long wave (MRLW) equation. In view of this, we will study the solitary wave motion and interaction of higher (two and three) solitary waves. Also, the modif...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5580687 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850110669156777984 |
|---|---|
| author | Pshtiwan Othman Mohammed Manar A. Alqudah Y. S. Hamed Artion Kashuri Khadijah M. Abualnaja |
| author_facet | Pshtiwan Othman Mohammed Manar A. Alqudah Y. S. Hamed Artion Kashuri Khadijah M. Abualnaja |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | The current article considers the sextic B-spline collocation methods (SBCM1 and SBCM2) to approximate the solution of the modified regularized long wave (MRLW) equation. In view of this, we will study the solitary wave motion and interaction of higher (two and three) solitary waves. Also, the modified Maxwellian initial condition into solitary waves is studied. Moreover, the stability analysis of the methods has been discussed, and these will be unconditionally stable. Moreover, we have calculated the numerical conserved laws and error norms L2 and L∞ to demonstrate the efficiency and accuracy of the method. The numerical examples are presented to illustrate the applications of the methods and to compare the computed results with the other methods. The results show that our proposed methods are more accurate than the other methods. |
| format | Article |
| id | doaj-art-465227ea40d54e2a9bdfcb1d0647b7a1 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-465227ea40d54e2a9bdfcb1d0647b7a12025-08-20T02:37:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55806875580687Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline AlgorithmPshtiwan Othman Mohammed0Manar A. Alqudah1Y. S. Hamed2Artion Kashuri3Khadijah M. Abualnaja4Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, IraqDepartment of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O.Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, AlbaniaDepartment of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaThe current article considers the sextic B-spline collocation methods (SBCM1 and SBCM2) to approximate the solution of the modified regularized long wave (MRLW) equation. In view of this, we will study the solitary wave motion and interaction of higher (two and three) solitary waves. Also, the modified Maxwellian initial condition into solitary waves is studied. Moreover, the stability analysis of the methods has been discussed, and these will be unconditionally stable. Moreover, we have calculated the numerical conserved laws and error norms L2 and L∞ to demonstrate the efficiency and accuracy of the method. The numerical examples are presented to illustrate the applications of the methods and to compare the computed results with the other methods. The results show that our proposed methods are more accurate than the other methods.http://dx.doi.org/10.1155/2021/5580687 |
| spellingShingle | Pshtiwan Othman Mohammed Manar A. Alqudah Y. S. Hamed Artion Kashuri Khadijah M. Abualnaja Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm Journal of Function Spaces |
| title | Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm |
| title_full | Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm |
| title_fullStr | Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm |
| title_full_unstemmed | Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm |
| title_short | Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm |
| title_sort | solving the modified regularized long wave equations via higher degree b spline algorithm |
| url | http://dx.doi.org/10.1155/2021/5580687 |
| work_keys_str_mv | AT pshtiwanothmanmohammed solvingthemodifiedregularizedlongwaveequationsviahigherdegreebsplinealgorithm AT manaraalqudah solvingthemodifiedregularizedlongwaveequationsviahigherdegreebsplinealgorithm AT yshamed solvingthemodifiedregularizedlongwaveequationsviahigherdegreebsplinealgorithm AT artionkashuri solvingthemodifiedregularizedlongwaveequationsviahigherdegreebsplinealgorithm AT khadijahmabualnaja solvingthemodifiedregularizedlongwaveequationsviahigherdegreebsplinealgorithm |