Open AccessNatural Decomposition Approximation Solution for First Order Nonlinear Differential Equations
Author(s) -
A. Patra,
T. T. Shone,
Bijaya Mishra
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.5.20202
Subject(s) - adomian decomposition method , decomposition , decomposition method (queueing theory) , nonlinear system , mathematics , order (exchange) , natural (archaeology) , differential (mechanical device) , differential equation , mathematical analysis , statistics , physics , geology , thermodynamics , chemistry , paleontology , organic chemistry , finance , quantum mechanics , economics
In this research paper, we propose the Natural decomposition method (NDM) to solve nonlinear first order differential equations. We compare the results obtained by NDM with the exact solutions. This method is a combination of the natural transform method and adomian decomposition method. By showing the less error one can be concluded that the NDM is easy to use and efficient.