Investigation of the fractional coupled-Burgers model with the exponential kernel
The present study seeks to develop a collocation method focused on an extended cubic B-spline (ECBS) to approximate the time fractional coupled-burgers (TFCB) equation. Numerous branches of engineering and physical sciences are used to model the TFCB equation. They have been utilized to simulate the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447923003398 |
| _version_ | 1797253964343803904 |
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| author | Tayyaba Akram Azhar Iqbal Poom Kumam Thana Sutthibutpong |
| author_facet | Tayyaba Akram Azhar Iqbal Poom Kumam Thana Sutthibutpong |
| author_sort | Tayyaba Akram |
| collection | DOAJ |
| description | The present study seeks to develop a collocation method focused on an extended cubic B-spline (ECBS) to approximate the time fractional coupled-burgers (TFCB) equation. Numerous branches of engineering and physical sciences are used to model the TFCB equation. They have been utilized to simulate the sedimentation of scale volume concentrations of two different types of particles in fluid mixtures under the influence of gravity with the non-local time. The non-local time is considered in the form of the Caputo-Fabrizio operator (CFO). The space-direction is discretized via the ECBS functions. In addition, the new theoretical study of the stability and the convergence are also provided and compared with the computational values. Three examples are tested numerically in order to check the feasibility and applicability of the methodology. The graphics are also provided to examine the order of convergence numerically. |
| first_indexed | 2024-03-09T07:35:04Z |
| format | Article |
| id | doaj.art-3fd924326a6a428fb17af928bcd00c49 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-24T21:42:25Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-3fd924326a6a428fb17af928bcd00c492024-03-21T05:36:16ZengElsevierAin Shams Engineering Journal2090-44792024-03-01153102450Investigation of the fractional coupled-Burgers model with the exponential kernelTayyaba Akram0Azhar Iqbal1Poom Kumam2Thana Sutthibutpong3Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandMathematics and Natural Sciences, Prince Mohammad Bin Fahd University, 31952 Al Khobar, Saudi ArabiaCenter of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTTFixed Point Research Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand; Corresponding author.Theoretical and Computational Physics Group, Department of Physics, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, ThailandThe present study seeks to develop a collocation method focused on an extended cubic B-spline (ECBS) to approximate the time fractional coupled-burgers (TFCB) equation. Numerous branches of engineering and physical sciences are used to model the TFCB equation. They have been utilized to simulate the sedimentation of scale volume concentrations of two different types of particles in fluid mixtures under the influence of gravity with the non-local time. The non-local time is considered in the form of the Caputo-Fabrizio operator (CFO). The space-direction is discretized via the ECBS functions. In addition, the new theoretical study of the stability and the convergence are also provided and compared with the computational values. Three examples are tested numerically in order to check the feasibility and applicability of the methodology. The graphics are also provided to examine the order of convergence numerically.http://www.sciencedirect.com/science/article/pii/S2090447923003398Fractional calculusNumerical methodFractional coupled-burgers equationB-splineCaputo-Fabrizio operator |
| spellingShingle | Tayyaba Akram Azhar Iqbal Poom Kumam Thana Sutthibutpong Investigation of the fractional coupled-Burgers model with the exponential kernel Ain Shams Engineering Journal Fractional calculus Numerical method Fractional coupled-burgers equation B-spline Caputo-Fabrizio operator |
| title | Investigation of the fractional coupled-Burgers model with the exponential kernel |
| title_full | Investigation of the fractional coupled-Burgers model with the exponential kernel |
| title_fullStr | Investigation of the fractional coupled-Burgers model with the exponential kernel |
| title_full_unstemmed | Investigation of the fractional coupled-Burgers model with the exponential kernel |
| title_short | Investigation of the fractional coupled-Burgers model with the exponential kernel |
| title_sort | investigation of the fractional coupled burgers model with the exponential kernel |
| topic | Fractional calculus Numerical method Fractional coupled-burgers equation B-spline Caputo-Fabrizio operator |
| url | http://www.sciencedirect.com/science/article/pii/S2090447923003398 |
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