Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model
The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease trans...
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| Format: | Article |
| Language: | English |
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Indonesian Bio-Mathematical Society
2018-12-01
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| Series: | Communication in Biomathematical Sciences |
| Subjects: | |
| Online Access: | http://journals.itb.ac.id/index.php/cbms/article/view/8703 |
| _version_ | 1818609748274053120 |
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| author | Meksianis Z. Ndii Nursanti Anggriani Asep K. Supriatna |
| author_facet | Meksianis Z. Ndii Nursanti Anggriani Asep K. Supriatna |
| author_sort | Meksianis Z. Ndii |
| collection | DOAJ |
| description | The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease transmission dynamics and compare their solutions to that generated by MATLAB ode45 routine, which is the well-established numerical routine. The solutions of the DTM and NSFDS are in good agreement with MATLAB ode45 routine in the small time step. However, when the time step is larger, the NSFDS performs better than the DTM. |
| first_indexed | 2024-12-16T15:03:28Z |
| format | Article |
| id | doaj.art-ed83a9b3c8bc4a48b05d9b35c2f73308 |
| institution | Directory Open Access Journal |
| issn | 2549-2896 |
| language | English |
| last_indexed | 2024-12-16T15:03:28Z |
| publishDate | 2018-12-01 |
| publisher | Indonesian Bio-Mathematical Society |
| record_format | Article |
| series | Communication in Biomathematical Sciences |
| spelling | doaj.art-ed83a9b3c8bc4a48b05d9b35c2f733082022-12-21T22:27:13ZengIndonesian Bio-Mathematical SocietyCommunication in Biomathematical Sciences2549-28962018-12-011211012110.5614/cbms.2018.1.2.43676Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical modelMeksianis Z. Ndii0Nursanti Anggriani1Asep K. Supriatna2Department of Mathematics, University of Nusa Cendana, Kupang-NTTDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Padjadaran University, Jawa BaratDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Padjadaran University, Jawa Barat,The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease transmission dynamics and compare their solutions to that generated by MATLAB ode45 routine, which is the well-established numerical routine. The solutions of the DTM and NSFDS are in good agreement with MATLAB ode45 routine in the small time step. However, when the time step is larger, the NSFDS performs better than the DTM.http://journals.itb.ac.id/index.php/cbms/article/view/8703differential transformation methodnon standard finite difference schemenumerical simulationsmatlab ode45. |
| spellingShingle | Meksianis Z. Ndii Nursanti Anggriani Asep K. Supriatna Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model Communication in Biomathematical Sciences differential transformation method non standard finite difference scheme numerical simulations matlab ode45. |
| title | Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| title_full | Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| title_fullStr | Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| title_full_unstemmed | Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| title_short | Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| title_sort | comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model |
| topic | differential transformation method non standard finite difference scheme numerical simulations matlab ode45. |
| url | http://journals.itb.ac.id/index.php/cbms/article/view/8703 |
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