Open AccessAnalytic and numerical solution for duffing equations
Author(s) -
M. A. AL-Jawary,
Sayl Abd Al Razaq
Publication year - 2016
Publication title -
international journal of basic and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2227-5053
DOI - 10.14419/ijbas.v5i2.5838
Subject(s) - nonlinear system , duffing equation , mathematics , ordinary differential equation , numerical analysis , differential equation , iterative method , series (stratigraphy) , partial differential equation , software , mathematical analysis , computer science , algorithm , physics , paleontology , quantum mechanics , biology , programming language
Daftardar Gejji and Hossein Jafari have proposed a new iterative method for solving many of the linear and nonlinear equations namely (DJM). This method proved already the effectiveness in solved many of the ordinary differential equations, partial differential equations and integral equations. The main aim from this paper is to propose the Daftardar-Jafari method (DJM) to solve the Duffing equations and to find the exact solution and numerical solutions. The proposed (DJM) is very effective and reliable, and the solution is obtained in the series form with easily computed components. The software used for the calculations in this study was MATHEMATICA ® 9.0.