Modified differential transformation method for solving nonlinear dynamic problems

Rezaiee‐Pajand, Mohammad; Hashemian, Mohammad

doi:10.1016/j.apm.2017.03.003

Cited by 9 publications

(1 citation statement)

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“…Although the time domain is divided into m sub domain and the solutions is obtained from each domain [26], the chosen time step still play important role in determining the accuracy of the solutions generated by the DTM. There are also other variants of the DTM that may provide different results in terms of accuracy [25], [28], [13], [11] but this is not the focus of the paper. Interested readers can employ other variants of the DTM and compare the results to the NSFDS.…”

Section: Discussionmentioning

confidence: 99%

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

Ndii¹,

Anggriani²,

Supriatna³

2018

Communication in Biomathematical Sciences

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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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