He is variational iteration method to approximate time fractional wave non linear like equation with variable coefficient
DOI:
https://doi.org/10.31642/JoKMC/2018/030205Keywords:
Variational iteration method, time fractional non linear wave like with variable coeffcient , Caputo derivative.Abstract
In this paper, we will consider variationaliteration method (VIM) for solvingtime fractional non linear wave like with variable coeffcient. In this method we usean approximate value for time fractional derivativewhen find Lagrange multiplier.Three examples show theefficiency and the importance of the methodDownloads
References
Inokuti. M, Sekine. H and Mura. T, General use of the Lagrange multiplier in non-linear mathematical physics, Variational Methods in the Mechanics of Solids, Pergamum Press, New York, 1978, pp. 156–162. DOI: https://doi.org/10.1016/B978-0-08-024728-1.50027-6
Huan. J. H , Variational iteration method _ a kind of non-linear analytical technique:
some examples, Internat. J. Non-Linear.Mech. 34 (1999) 699-708. DOI: https://doi.org/10.1016/S0020-7462(98)00048-1
Caputo. M, linear models of dissipation whose Q is almost frequency independent. Part II, J. Roy. Astral. Soc. 13 (1967) 529–539. DOI: https://doi.org/10.1111/j.1365-246X.1967.tb02303.x
Mohammad Ghoreishi, Adomian Decomposition Method (ADM) for Nonlinear Wave-like Equations with
Variable Coefficient, Applied Mathematical Sciences, Vol. 4, 2010, no. 49, 2431 - 2444.
Saad.M.R.,Comparative study to some semi numerical methods for solving nonlinear Wave-like
Equation with variable cofficant, J.Thi-Qar Sci,Vol.3 (2), Feb./2012.
Ail.J.A.and Jassim.A.M.(2011) Solution of an extraordinary differential equation by variational iteration method and homotopy perturbation method, Journal of Basrah Researches (sciences)Volume 37. Number 3A/15 June .
HeJi-H,Variational iteration method some recent results and new interpretations, Journal of Computational and applied Mathematics ,207(2007),3-17. DOI: https://doi.org/10.1016/j.cam.2006.07.009
ZhaoYand Xiao A, Variational iteration method for singular perturbation initial value problems, computer Physics Communications, 181(2010),947-956. DOI: https://doi.org/10.1016/j.cpc.2010.01.007
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Abeer Majeed Jasim
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.