Analytic and numerical solution for duffing equations

  • Authors

    • Majeed AL-Jawary Head of Department of Mathematics, College of Education Ibn-AL-Haitham, Baghdad University, Baghdad, Iraq
    • Sayl Abd- AL- Razaq Department of Mathematics, College of Education Ibn-Al-Haithem, Baghdad University, Baghdad
    https://doi.org/10.14419/ijbas.v5i2.5838

    Received date: February 6, 2016

    Accepted date: March 13, 2016

    Published date: March 18, 2016

  • Duffing Equation; Damping Equation; Undamping Equation; Exact Solution; Iterative Method.

  • Abstract

    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.

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  • How to Cite

    AL-Jawary, M., & Abd- AL- Razaq, S. (2016). Analytic and numerical solution for duffing equations. International Journal of Basic and Applied Sciences, 5(2), 115-119. https://doi.org/10.14419/ijbas.v5i2.5838