求解植物病害数学模型的微分变换法和非标准有限差分格式的比较

Q2 Mathematics

Communication in Biomathematical Sciences Pub Date : 2018-12-28 DOI:10.5614/CBMS.2018.1.2.4

M. Z. Ndii, N. Anggriani, Asep K. Supriatna

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引用次数: 5

摘要

微分变换法(DTM)和非标准有限差分格式(NSFDS)是用于求解线性和非线性微分方程系统的可选数值技术。本文构建了植物病害传播动力学数学模型的DTM和NSFDS，并将其解与MATLAB ode45程序生成的解进行了比较。在小时间步长范围内，DTM和NSFDS的解与MATLAB ode45程序的解吻合较好。但是，当时间步长较大时，NSFDS的性能优于DTM。

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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 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.

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来源期刊

Communication in Biomathematical Sciences Biochemistry, Genetics and Molecular Biology-Biochemistry, Genetics and Molecular Biology (miscellaneous)

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

24 weeks