Periodic Solution; Nonlinear Oscillators; Energy Balance Method; Variational Iteration Method - Articles

Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators (Articles)

Taher A. Nofal, Gamal M. Ismail, Amal Ali M. Mady, Sayed Abdel-Khalek

Journal of Electromagnetic Analysis and Applications Vol.5 No.10，October 29, 2013

DOI: 10.4236/jemaa.2013.510061 3,862 Downloads 6,097 Views Citations
Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations (Articles)

Tunde A. Adeosun, Olugbenga J. Fenuga, Samuel O. Adelana, Abosede M. John, Ogunjimi Olalekan, Kazeem B. Alao

Applied Mathematics Vol.4 No.10，October 4, 2013

DOI: 10.4236/am.2013.410190 5,462 Downloads 8,370 Views Citations
Numerical Simulation for Nonlinear Water Waves Propagating along the Free Surface (Articles)

Rabab Fadhel Al-Bar

Journal of Applied Mathematics and Physics Vol.4 No.5，May 30, 2016

DOI: 10.4236/jamp.2016.45102 1,839 Downloads 2,820 Views Citations
Application of He’s Variational Iterative Method for Solving Thin Film Flow Problem Arising in Non-Newtonian Fluid Mechanics (Articles)

Abdul M. Siddiqui, Ali A. Farooq, Tahira Haroon, Muhammad A. Rana, Bruce S. Babcock

World Journal of Mechanics Vol.2 No.3，June 20, 2012

DOI: 10.4236/wjm.2012.23016 5,191 Downloads 9,041 Views Citations
Variational Iteration Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.13 No.12，December 30, 2022

DOI: 10.4236/am.2022.1312060 184 Downloads 934 Views Citations
A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method (Articles)

Maha S. M. Shehata

American Journal of Computational Mathematics Vol.5 No.2，June 26, 2015

DOI: 10.4236/ajcm.2015.52016 5,833 Downloads 7,858 Views Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems (Articles)

Bothayna S. Kashkari, Sharefah Saleh

Applied Mathematics Vol.8 No.7，July 4, 2017

DOI: 10.4236/am.2017.87070 1,452 Downloads 3,035 Views Citations
Parametric Iteration Method for Solving Linear Optimal Control Problems (Articles)

Abdolsaeed Alavi, Aghileh Heidari

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39155 4,049 Downloads 6,851 Views Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9，September 19, 2011

DOI: 10.4236/am.2011.29150 6,618 Downloads 11,866 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method (Articles)

Mehdi Safari, Majid Safari

American Journal of Computational Mathematics Vol.1 No.4，December 9, 2011

DOI: 10.4236/ajcm.2011.14027 6,909 Downloads 11,286 Views Citations
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method (Articles)

R. N. Prajapati, Rakesh Mohan, Pankaj Kumar

American Journal of Computational Mathematics Vol.2 No.4，December 25, 2012

DOI: 10.4236/ajcm.2012.24042 5,959 Downloads 11,067 Views Citations
Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method (Articles)

Qi Wang

Journal of Applied Mathematics and Physics Vol.2 No.1，January 9, 2014

DOI: 10.4236/jamp.2014.21005 4,448 Downloads 6,664 Views Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5，May 31, 2023

DOI: 10.4236/am.2023.145021 214 Downloads 1,047 Views Citations
Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem (Articles)

Sharaf Mohmoud, Mohamed Gubara

Applied Mathematics Vol.7 No.10，June 15, 2016

DOI: 10.4236/am.2016.710092 2,074 Downloads 4,371 Views Citations
Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations (Articles)

Mingliang Wang, Xiangzheng Li

Journal of Applied Mathematics and Physics Vol.2 No.8，July 21, 2014

DOI: 10.4236/jamp.2014.28091 2,993 Downloads 4,116 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11，November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,058 Downloads 6,005 Views Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4，April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,830 Downloads 3,825 Views Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10，October 12, 2012

DOI: 10.4236/am.2012.310174 7,415 Downloads 13,411 Views Citations
Existence of the Solutions for a Class of Quasilinear Schrödinger Equations with Nonlocal Term (Articles)

Renqing You, Peng Liao

Journal of Applied Mathematics and Physics Vol.10 No.11，November 10, 2022

DOI: 10.4236/jamp.2022.1011216 117 Downloads 561 Views Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

T. A. Nofel

Applied Mathematics Vol.5 No.6，April 2, 2014

DOI: 10.4236/am.2014.56081 8,055 Downloads 10,577 Views Citations

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