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

2018 ◽  
Vol 1 (2) ◽  
pp. 110
Author(s):  
Meksianis Z. Ndii ◽  
Nursanti Anggriani ◽  
Asep K. Supriatna
Keyword(s):  
Mathematical Model ◽  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Plant Disease ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Differential Transformation

scholarly journals The Solution of a Mathematical Model for Dengue Fever Transmission Using Differential Transformation Method

2019 ◽  
pp. 82-87
Author(s):  
Felix Yakubu Eguda ◽  
Andrawus James ◽  
Sunday Babuba
Keyword(s):  
Mathematical Model ◽  
Dengue Fever ◽  
Transformation Method ◽  
Vital Role ◽  
Differential Transformation Method ◽  
Linear Ordinary Differential Equations ◽  
Differential Transformation ◽  
Long Term Behavior ◽  
The Mathematical Model

Differential Transformation Method (DTM) is a very effective tool for solving linear and non-linear ordinary differential equations. This paper uses DTM to solve the mathematical model for the dynamics of Dengue fever in a population. The graphical profiles for human population are obtained using Maple software. The solution profiles give the long term behavior of Dengue fever model which shows that treatment plays a vital role in reducing the disease burden in a population.

scholarly journals Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
A. Harir ◽  
S. Melliani ◽  
H. El Harfi ◽  
L. S. Chadli
Keyword(s):  
Mathematical Model ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Nonlinear Ordinary Differential Equations ◽  
Nonlinear Odes ◽  
Differential Transformation ◽  
Variational Iteration ◽  
The Mathematical Model

The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).

Large Deflection of Tip Loaded Beam with Differential Transformation Method

2011 ◽  
Vol 250-253 ◽  
pp. 1232-1235 ◽  
Author(s):  
Yi Xiao
Keyword(s):  
Differential Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Large Deflection ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
The Finite Difference Method ◽  
Large Deflection Problem ◽  
Constant Section

This paper deals with large deflection problem of a cantilever beam with a constant section under the action of a transverse tip load. The differential transformation method (DTM) is used to solve the nonlinear differential equation governing the problem. An approach treats trigonometric nonlinearity is used in DTM. The results obtained from DTM are compared with those results obtained by the finite difference method and they agree well.

scholarly journals Application of Differential Transformation Method for Solving HIV Model with Anti-Viral Treatment

2020 ◽  
Vol 14 (3) ◽  
pp. 378-388
Author(s):  
Esther Y. Bunga ◽  
Meksianis Z. Ndii
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Kutta Method ◽  
System Of Differential Equations ◽  
Time Step ◽  
Differential Transformation ◽  
Runge Kutta Method ◽  
Runge Kutta

Mathematical models have been widely used to understand complex phenomena. Generally, the model is in the form of system of differential equations. However, when the model becomes complex, analytical solutions are not easily found and hence a numerical approach has been used. A number of numerical schemes such as Euler, Runge-Kutta, and Finite Difference Scheme are generally used. There are also alternative numerical methods that can be used to solve system of differential equations such as the nonstandard finite difference scheme (NSFDS), the Adomian decomposition method (ADM), Variation iteration method (VIM), and the differential transformation method (DTM). In this paper, we apply the differential transformation method (DTM)  to solve system of differential equations. The DTM is semi-analytical numerical technique to solve the system of differential equations and provides an iterative procedure to obtain the power series of the solution in terms of initial value parameters.. In this paper, we present a mathematical model of HIV with antiviral treatment and construct a numerical scheme based on the differential transformation method (DTM) for solving the model. The results are compared to that of Runge-Kutta method. We find a good agreement of the DTM and the Runge-Kutta method for smaller time step but it fails in the large time step.

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