Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system
Recently, modelling the biological systems by using stochastic differential equations (SDEs) are becoming an interest among researchers. In SDEs the random fluctuations are taking into account, which resulting to the complexity of finding the exact solution of SDEs and contribute to the increasing n...
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/20730/ http://umpir.ump.edu.my/id/eprint/20730/1/IOP.pdf |
| _version_ | 1848821180938584064 |
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| author | Noor Amalina Nisa, Ariffin Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Adam, Samsudin |
| author_facet | Noor Amalina Nisa, Ariffin Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Adam, Samsudin |
| author_sort | Noor Amalina Nisa, Ariffin |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Recently, modelling the biological systems by using stochastic differential equations (SDEs) are becoming an interest among researchers. In SDEs the random fluctuations are taking into account, which resulting to the complexity of finding the exact solution of SDEs and contribute to the increasing number of research focusing in finding the best numerical approach to solve the systems of SDEs. This paper will examine the performance of 4-stage stochastic Runge-Kutta (SRK4) and specific stochastic Runge-Kutta (SRKS) methods with order 1.5 in approximating the solution of stochastic model in biological system. A comparative study of SRK4 and SRKS method will be presented in this paper. The non-linear biological model will be used to examine the performance of both methods and the result of numerical experiment will be discussed. |
| first_indexed | 2025-11-15T02:21:15Z |
| format | Conference or Workshop Item |
| id | ump-20730 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:21:15Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-207302018-08-06T04:33:48Z http://umpir.ump.edu.my/id/eprint/20730/ Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system Noor Amalina Nisa, Ariffin Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Adam, Samsudin QA Mathematics Recently, modelling the biological systems by using stochastic differential equations (SDEs) are becoming an interest among researchers. In SDEs the random fluctuations are taking into account, which resulting to the complexity of finding the exact solution of SDEs and contribute to the increasing number of research focusing in finding the best numerical approach to solve the systems of SDEs. This paper will examine the performance of 4-stage stochastic Runge-Kutta (SRK4) and specific stochastic Runge-Kutta (SRKS) methods with order 1.5 in approximating the solution of stochastic model in biological system. A comparative study of SRK4 and SRKS method will be presented in this paper. The non-linear biological model will be used to examine the performance of both methods and the result of numerical experiment will be discussed. IOP Publishing 2017 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/20730/1/IOP.pdf Noor Amalina Nisa, Ariffin and Norhayati, Rosli and Mazma Syahidatul Ayuni, Mazlan and Adam, Samsudin (2017) Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system. In: Journal of Physics: Conference Series, 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017) , 8-10 August 2017 , Kuantan, Pahang, Malaysia. pp. 1-7., 890 (012083). ISSN 1742-6596 (Published) https://doi.org/10.1088/1742-6596/890/1/012083 |
| spellingShingle | QA Mathematics Noor Amalina Nisa, Ariffin Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Adam, Samsudin Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title | Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title_full | Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title_fullStr | Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title_full_unstemmed | Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title_short | Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system |
| title_sort | performance of stochastic runge-kutta methods in approximating the solution of stochastic model in biological system |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/20730/ http://umpir.ump.edu.my/id/eprint/20730/ http://umpir.ump.edu.my/id/eprint/20730/1/IOP.pdf |