Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model | Zendy

Meksianis Z. Ndii | Zendy; Nursanti Anggriani | Zendy; Asep K. Supriatna | Zendy

Open Access

Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model

Author(s) -

Meksianis Z. Ndii,

Nursanti Anggriani,

Asep K. Supriatna

Publication year - 2018

Publication title -

communication in biomathematical sciences

Language(s) - English

Resource type - Journals

ISSN - 2549-2896

DOI - 10.5614/cbms.2018.1.2.4

Subject(s) - matlab , transformation (genetics) , nonlinear system , scheme (mathematics) , construct (python library) , differential (mechanical device) , mathematics , differential equation , computer science , finite difference method , algorithm , mathematical optimization , mathematical analysis , engineering , biochemistry , physics , gene , chemistry , quantum mechanics , programming language , aerospace engineering , operating system

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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