Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method
Simulation and numerical study for the blood ethanol concentration system (BECS) and the Lotka-Volterra system, i.e., predator-prey equations (PPEs) (both of fractional order in the Caputo sense) by employing a development accurate variational iteration method are presented in this work. By assessin...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023974?viewType=HTML |
| _version_ | 1797801094899826688 |
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| author | M. Adel M. M. Khader Hijaz Ahmad T. A. Assiri |
| author_facet | M. Adel M. M. Khader Hijaz Ahmad T. A. Assiri |
| author_sort | M. Adel |
| collection | DOAJ |
| description | Simulation and numerical study for the blood ethanol concentration system (BECS) and the Lotka-Volterra system, i.e., predator-prey equations (PPEs) (both of fractional order in the Caputo sense) by employing a development accurate variational iteration method are presented in this work. By assessing the absolute error, and the residual error function, we can confirm the given procedure is effective and accurate. The outcomes demonstrate that the proposed technique is a suitable tool for simulating such models and can be extended to simulate other models. |
| first_indexed | 2024-03-13T04:45:13Z |
| format | Article |
| id | doaj.art-37e024f5f950404f950e2833d4694715 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T04:45:13Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-37e024f5f950404f950e2833d46947152023-06-19T01:26:46ZengAIMS PressAIMS Mathematics2473-69882023-06-0188190831909610.3934/math.2023974Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration methodM. Adel 0M. M. Khader1Hijaz Ahmad 2 T. A. Assiri31. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA 2. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt3. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia 4. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon 6. Near East University, Operational Research Center in Healthcare, Near East Boulevard, P. C. 99138, Nicosia/Mersin 10, Turkey 7. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, Roma 3900186, Italy8. Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah, Saudi ArabiaSimulation and numerical study for the blood ethanol concentration system (BECS) and the Lotka-Volterra system, i.e., predator-prey equations (PPEs) (both of fractional order in the Caputo sense) by employing a development accurate variational iteration method are presented in this work. By assessing the absolute error, and the residual error function, we can confirm the given procedure is effective and accurate. The outcomes demonstrate that the proposed technique is a suitable tool for simulating such models and can be extended to simulate other models.https://www.aimspress.com/article/doi/10.3934/math.2023974?viewType=HTMLvariational iteration methodfractional becsfractional ppes |
| spellingShingle | M. Adel M. M. Khader Hijaz Ahmad T. A. Assiri Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method AIMS Mathematics variational iteration method fractional becs fractional ppes |
| title | Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method |
| title_full | Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method |
| title_fullStr | Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method |
| title_full_unstemmed | Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method |
| title_short | Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method |
| title_sort | approximate analytical solutions for the blood ethanol concentration system and predator prey equations by using variational iteration method |
| topic | variational iteration method fractional becs fractional ppes |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023974?viewType=HTML |
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