Numerical collocation technique for solving modified equal width wave equation
In this article, Cubic Trigonometric B-Spline Collocation technique is used to solve Modified Equal Width (MEW) Wave equation with application. The proposed scheme of major equation is tested by three ways: Single Soliton Wave, train of Solitary Waves and final birth solution. The efficiency and val...
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| Format: | Article |
| Language: | English |
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REA Press
2024-06-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_190457_2daeafe525ad44f8605f9f4325c9b5d6.pdf |
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| author | Aqib Zafar Shyam Sundra Santra Muhammad Nasir |
| author_facet | Aqib Zafar Shyam Sundra Santra Muhammad Nasir |
| author_sort | Aqib Zafar |
| collection | DOAJ |
| description | In this article, Cubic Trigonometric B-Spline Collocation technique is used to solve Modified Equal Width (MEW) Wave equation with application. The proposed scheme of major equation is tested by three ways: Single Soliton Wave, train of Solitary Waves and final birth solution. The efficiency and validity i.e, of proposed method is checked by different time levels. The present scheme is implemented to find out three invariants quantities and two error and norms. The given scheme is stabled via Von Neumman method. The obtain results are improved from earlier results. Some examples are listed to show the effusiveness and validity of the main results. |
| format | Article |
| id | doaj-art-6ea1c409e0bc41fdae95f355fb164295 |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-6ea1c409e0bc41fdae95f355fb1642952025-01-30T11:23:09ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202024-06-013217418610.22105/cand.2024.443905.1091190457Numerical collocation technique for solving modified equal width wave equationAqib Zafar0Shyam Sundra Santra1Muhammad Nasir2College of Mathematics and Systems Science, Xinjiang University Urumqi China.Department of Mathematics, JIS College of Engineering, Kalyani, West Bangle 741235, India.School of Mathematical Sciences Beijing, Beijing, China.In this article, Cubic Trigonometric B-Spline Collocation technique is used to solve Modified Equal Width (MEW) Wave equation with application. The proposed scheme of major equation is tested by three ways: Single Soliton Wave, train of Solitary Waves and final birth solution. The efficiency and validity i.e, of proposed method is checked by different time levels. The present scheme is implemented to find out three invariants quantities and two error and norms. The given scheme is stabled via Von Neumman method. The obtain results are improved from earlier results. Some examples are listed to show the effusiveness and validity of the main results.https://www.journal-cand.com/article_190457_2daeafe525ad44f8605f9f4325c9b5d6.pdfmodified equal width wave equationcubic trigonometric b-spline functionsnewton’s formulagaussian elimination method |
| spellingShingle | Aqib Zafar Shyam Sundra Santra Muhammad Nasir Numerical collocation technique for solving modified equal width wave equation Computational Algorithms and Numerical Dimensions modified equal width wave equation cubic trigonometric b-spline functions newton’s formula gaussian elimination method |
| title | Numerical collocation technique for solving modified equal width wave equation |
| title_full | Numerical collocation technique for solving modified equal width wave equation |
| title_fullStr | Numerical collocation technique for solving modified equal width wave equation |
| title_full_unstemmed | Numerical collocation technique for solving modified equal width wave equation |
| title_short | Numerical collocation technique for solving modified equal width wave equation |
| title_sort | numerical collocation technique for solving modified equal width wave equation |
| topic | modified equal width wave equation cubic trigonometric b-spline functions newton’s formula gaussian elimination method |
| url | https://www.journal-cand.com/article_190457_2daeafe525ad44f8605f9f4325c9b5d6.pdf |
| work_keys_str_mv | AT aqibzafar numericalcollocationtechniqueforsolvingmodifiedequalwidthwaveequation AT shyamsundrasantra numericalcollocationtechniqueforsolvingmodifiedequalwidthwaveequation AT muhammadnasir numericalcollocationtechniqueforsolvingmodifiedequalwidthwaveequation |