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Asep K. Supriatna
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padjadaran University, Jawa Barat,
Social Sciences

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Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model Meksianis Z. Ndii; Nursanti Anggriani; Asep K. Supriatna
Communication in Biomathematical Sciences Vol. 1 No. 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2018.1.2.4

Abstract

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.
Co-Authors Ndii, Meksianis Z Nursanti Anggriani