Application of Adomian Decomposition Method (ADM) for Solving Mathematical Model of Measles

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2021-03-03

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National Mathematical Centre (NMC) Journal of Mathematical Sciences,

Abstract

Adomian Decomposition Method (ADM) is a semi-analytical method that give the approximate solution of the linear and non-linear differential equations. In this paper the Adomian Decomposition Method (ADM) was used to solve the mathematical model of measles. The ADM solution was validated with Runge-Kutta built-in in Maple software. The graphical solutions show the decrease and increase in the classes with time. It was revealed from the graphical solution that the ADM is in agreement with Runge-Kutta. Keywords: Mathematical modeling, Adomian Decomposition Method, numerical solution

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Adomian Decomposition Method (ADM) is a semi-analytical method that give the approximate solution of the linear and non-linear differential equations. In this paper the Adomian Decomposition Method (ADM) was used to solve the mathematical model of measles. The ADM solution was validated with Runge-Kutta built-in in Maple software. The graphical solutions show the decrease and increase in the classes with time. It was revealed from the graphical solution that the ADM is in agreement with Runge-Kutta. Keywords: Mathematical modeling, Adomian Decomposition Method, numerical solution

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