Open Access Journal

ISSN : 2394-2320 (Online)

International Journal of Engineering Research in Computer Science and Engineering (IJERCSE)

Monthly Journal for Computer Science and Engineering

Open Access Journal

International Journal of Engineering Research in Computer Science and Engineering (IJERCSE)

Monthly Journal for Computer Science and Engineering

ISSN : 2394-2320 (Online)

Solution of the Verhulst Model in Mathematical Biology Using Natural Decomposition Method (NDM)

Author : Lakmalla Shiva Kumar 1 P. Bhattacharya 2

Date of Publication :22nd February 2018

Abstract: In this research paper, we apply a novel method called the Natural Decomposition Method (NDM) to the non-linear ordinary differential equation called the Verhulst model or the Logistic growth model. Natural Decomposition Method (NDM) is based on the Natural Transform Method (NTM) and Adomain Decomposition Method (ADM). We try to give an approximate solution to the Verhulst model using natural decomposition method and we also observe the behaviour of the solution obtained. NDM makes it very easy to solve linear and non-linear ordinary differential equations and gives exact solutions in the form of rapid convergence series.

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