A new collocation method for solving some first-order differential models of biological systems
In this research paper, we propose a new collocation method (NCM) that provides more accurate numerical solutions to initial value problems (IVPs) of ordinary differential equations (ODEs) models of biological systems. To evaluate the performance of the proposed method, we conduct numerical examples...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Scientific African |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468227625002054 |
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| author | Mufutau Ajani Rufai Bruno Carpentieri Aisha Abidemi Alimi Mariam Abiodun Babalola |
| author_facet | Mufutau Ajani Rufai Bruno Carpentieri Aisha Abidemi Alimi Mariam Abiodun Babalola |
| author_sort | Mufutau Ajani Rufai |
| collection | DOAJ |
| description | In this research paper, we propose a new collocation method (NCM) that provides more accurate numerical solutions to initial value problems (IVPs) of ordinary differential equations (ODEs) models of biological systems. To evaluate the performance of the proposed method, we conduct numerical examples on various differential model problems relevant to biological systems. Specifically, the NCM is used to obtain more accurate numerical solutions to three different models: logistic growth, SIR, and Lotka–Volterra. This work demonstrates that the NCM outperforms some existing numerical methods in the literature, thereby establishing its superior efficiency and effectiveness in solving real-world problems in the form of first-order ODE models in the domain of computational and mathematical biology. The proposed NCM method contributes to developing advanced numerical methods for solving some biological systems models. |
| format | Article |
| id | doaj-art-ff11a4ca834e4dd08522d55293c44b6a |
| institution | Kabale University |
| issn | 2468-2276 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Scientific African |
| spelling | doaj-art-ff11a4ca834e4dd08522d55293c44b6a2025-08-20T03:53:56ZengElsevierScientific African2468-22762025-06-0128e0273510.1016/j.sciaf.2025.e02735A new collocation method for solving some first-order differential models of biological systemsMufutau Ajani Rufai0Bruno Carpentieri1Aisha Abidemi Alimi2Mariam Abiodun Babalola3Faculty of Engineering, Free University of Bozen-Bolzano, 39100 Bolzano, Italy; Corresponding authors.Faculty of Engineering, Free University of Bozen-Bolzano, 39100 Bolzano, Italy; Corresponding authors.Department of Biology, University of Ibadan, Ilesa Campus, 5089 Ilesa, NigeriaDepartment of Science and Technology, University of Lagos, Yaba, 101245 Lagos, NigeriaIn this research paper, we propose a new collocation method (NCM) that provides more accurate numerical solutions to initial value problems (IVPs) of ordinary differential equations (ODEs) models of biological systems. To evaluate the performance of the proposed method, we conduct numerical examples on various differential model problems relevant to biological systems. Specifically, the NCM is used to obtain more accurate numerical solutions to three different models: logistic growth, SIR, and Lotka–Volterra. This work demonstrates that the NCM outperforms some existing numerical methods in the literature, thereby establishing its superior efficiency and effectiveness in solving real-world problems in the form of first-order ODE models in the domain of computational and mathematical biology. The proposed NCM method contributes to developing advanced numerical methods for solving some biological systems models.http://www.sciencedirect.com/science/article/pii/S2468227625002054Collocation methodInitial value problemsMathematical modelingOrdinary differential equationsNumerical solutionsStability analysis |
| spellingShingle | Mufutau Ajani Rufai Bruno Carpentieri Aisha Abidemi Alimi Mariam Abiodun Babalola A new collocation method for solving some first-order differential models of biological systems Scientific African Collocation method Initial value problems Mathematical modeling Ordinary differential equations Numerical solutions Stability analysis |
| title | A new collocation method for solving some first-order differential models of biological systems |
| title_full | A new collocation method for solving some first-order differential models of biological systems |
| title_fullStr | A new collocation method for solving some first-order differential models of biological systems |
| title_full_unstemmed | A new collocation method for solving some first-order differential models of biological systems |
| title_short | A new collocation method for solving some first-order differential models of biological systems |
| title_sort | new collocation method for solving some first order differential models of biological systems |
| topic | Collocation method Initial value problems Mathematical modeling Ordinary differential equations Numerical solutions Stability analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2468227625002054 |
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