Prescribing a multistage analytical method to a prey-predator dynamical system
This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modificatio...
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Elsevier
2023
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| author | Goh S.M. Noorani M.S.M. Hashim I. |
| author2 | 25521891600 |
| author_facet | 25521891600 Goh S.M. Noorani M.S.M. Hashim I. |
| author_sort | Goh S.M. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order). � 2008. |
| format | Article |
| id | my.uniten.dspace-30920 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | my.uniten.dspace-309202023-12-29T15:55:54Z Prescribing a multistage analytical method to a prey-predator dynamical system Goh S.M. Noorani M.S.M. Hashim I. 25521891600 6603683028 10043682500 Fourth-order Runge-Kutta method Prey-predator model Variational iteration method Dynamical systems Iterative methods Nonlinear equations Numerical methods Ordinary differential equations Predator prey systems Analytical method Fourth order Fourth order Runge-Kutta methods Nonlinear ordinary differential equation Prey-predator Prey-predator models Variational iteration method Runge Kutta methods This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order). � 2008. Final 2023-12-29T07:55:54Z 2023-12-29T07:55:54Z 2008 Article 10.1016/j.physleta.2008.11.009 2-s2.0-56449124930 https://www.scopus.com/inward/record.uri?eid=2-s2.0-56449124930&doi=10.1016%2fj.physleta.2008.11.009&partnerID=40&md5=f632e8c2db715315e5ef895adbad7a72 https://irepository.uniten.edu.my/handle/123456789/30920 373 1 107 110 Elsevier Scopus |
| spellingShingle | Fourth-order Runge-Kutta method Prey-predator model Variational iteration method Dynamical systems Iterative methods Nonlinear equations Numerical methods Ordinary differential equations Predator prey systems Analytical method Fourth order Fourth order Runge-Kutta methods Nonlinear ordinary differential equation Prey-predator Prey-predator models Variational iteration method Runge Kutta methods Goh S.M. Noorani M.S.M. Hashim I. Prescribing a multistage analytical method to a prey-predator dynamical system |
| title | Prescribing a multistage analytical method to a prey-predator dynamical system |
| title_full | Prescribing a multistage analytical method to a prey-predator dynamical system |
| title_fullStr | Prescribing a multistage analytical method to a prey-predator dynamical system |
| title_full_unstemmed | Prescribing a multistage analytical method to a prey-predator dynamical system |
| title_short | Prescribing a multistage analytical method to a prey-predator dynamical system |
| title_sort | prescribing a multistage analytical method to a prey-predator dynamical system |
| topic | Fourth-order Runge-Kutta method Prey-predator model Variational iteration method Dynamical systems Iterative methods Nonlinear equations Numerical methods Ordinary differential equations Predator prey systems Analytical method Fourth order Fourth order Runge-Kutta methods Nonlinear ordinary differential equation Prey-predator Prey-predator models Variational iteration method Runge Kutta methods |
| url_provider | http://dspace.uniten.edu.my/ |