Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation
This research project introduces a novel computational approach for solving the regularized long wave equation. The proposed method utilizes a subdivision scheme with appropriate basis functions to transform the equation into a system of linear algebraic equations. A suitable numerical technique is...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2024-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0185145 |
| _version_ | 1797332009881698304 |
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| author | Syeda Tehmina Ejaz Syeda Asma Qamar Ali Akgül Murad Khan Hassani |
| author_facet | Syeda Tehmina Ejaz Syeda Asma Qamar Ali Akgül Murad Khan Hassani |
| author_sort | Syeda Tehmina Ejaz |
| collection | DOAJ |
| description | This research project introduces a novel computational approach for solving the regularized long wave equation. The proposed method utilizes a subdivision scheme with appropriate basis functions to transform the equation into a system of linear algebraic equations. A suitable numerical technique is employed to compute the solution of the transformed equations. Theoretical analysis of stability and error for the proposed method is also conducted. Furthermore, the invariants of three physical properties, waves, mass (M), momentum (P), and energy (ɛ), are calculated. Additionally, numerical evidence is presented to demonstrate the effectiveness and accuracy of the method. The results of the numerical experiments confirm the efficiency and high accuracy of the proposed method. Moreover, the numerical results of the invariants validate the conservation laws and align with the theoretical results. |
| first_indexed | 2024-03-08T07:43:28Z |
| format | Article |
| id | doaj.art-f0d2071c5baa4499b6460067dc976ff1 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-08T07:43:28Z |
| publishDate | 2024-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-f0d2071c5baa4499b6460067dc976ff12024-02-02T16:46:07ZengAIP Publishing LLCAIP Advances2158-32262024-01-01141015221015221-910.1063/5.0185145Subdivision collocation method for numerical treatment of regularized long wave (RLW) equationSyeda Tehmina Ejaz0Syeda Asma Qamar1Ali Akgül2Murad Khan Hassani3Department of Mathematics, The Government Sadiq College Women University, Bahawalpur, PakistanDepartment of Mathematics, The Government Sadiq College Women University, Bahawalpur, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Mathematics, Ghazni University, Ghazni, AfghanistanThis research project introduces a novel computational approach for solving the regularized long wave equation. The proposed method utilizes a subdivision scheme with appropriate basis functions to transform the equation into a system of linear algebraic equations. A suitable numerical technique is employed to compute the solution of the transformed equations. Theoretical analysis of stability and error for the proposed method is also conducted. Furthermore, the invariants of three physical properties, waves, mass (M), momentum (P), and energy (ɛ), are calculated. Additionally, numerical evidence is presented to demonstrate the effectiveness and accuracy of the method. The results of the numerical experiments confirm the efficiency and high accuracy of the proposed method. Moreover, the numerical results of the invariants validate the conservation laws and align with the theoretical results.http://dx.doi.org/10.1063/5.0185145 |
| spellingShingle | Syeda Tehmina Ejaz Syeda Asma Qamar Ali Akgül Murad Khan Hassani Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation AIP Advances |
| title | Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation |
| title_full | Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation |
| title_fullStr | Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation |
| title_full_unstemmed | Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation |
| title_short | Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation |
| title_sort | subdivision collocation method for numerical treatment of regularized long wave rlw equation |
| url | http://dx.doi.org/10.1063/5.0185145 |
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