Strongly Nonlinear Vibration; Generalized Duffing Equation; Homotopy Analysis Method - Articles

Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators (Articles)

Youhua Qian, Dongxu Ren, Shengmin Chen, Lin Ping

Modern Mechanical Engineering Vol.2 No.4，November 30, 2012

DOI: 10.4236/mme.2012.24022 4,266 Downloads 8,263 Views Citations
The Vibrational Motion of a Dynamical System Using Homotopy Perturbation Technique (Articles)

T. S. Amer, A. A. Galal, Shimaa Elnaggar

Applied Mathematics Vol.11 No.11，November 13, 2020

DOI: 10.4236/am.2020.1111073 478 Downloads 1,308 Views Citations
Generalized Abel Inversion Using Homotopy Perturbation Method (Articles)

Sunil Kumar, Om P. Singh, Sandeep Dixit

Applied Mathematics Vol.2 No.2，February 25, 2011

DOI: 10.4236/am.2011.22029 6,889 Downloads 12,923 Views Citations
Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation (Articles)

Dalal A. Maturi

Applied Mathematics Vol.3 No.12，December 21, 2012

DOI: 10.4236/am.2012.312273 5,792 Downloads 9,644 Views Citations
The Selection of Proper Auxiliary Parameters in the Homotopy Analysis Method. A Case Study: Uniform Solutions of Undamped Duffing Equation (Articles)

Mustafa Turkyilmazoglu

Applied Mathematics Vol.2 No.6，June 22, 2011

DOI: 10.4236/am.2011.26105 7,151 Downloads 12,286 Views Citations
On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method (Articles)

S. Salman Nourazar, Mohsen Soori, Akbar Nazari-Golshan

Journal of Applied Mathematics and Physics Vol.3 No.3，March 23, 2015

DOI: 10.4236/jamp.2015.33042 4,661 Downloads 6,634 Views Citations
The Solutions for the Eco-Epidemic Model with Homotopy Analysis Method (Articles)

Xiurong Chen

Engineering Vol.5 No.10B，December 17, 2013

DOI: 10.4236/eng.2013.510B091 4,009 Downloads 5,468 Views Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power (Articles)

Huaxiong Chen, Yanyan Wang

Journal of Applied Mathematics and Physics Vol.9 No.1，January 6, 2021

DOI: 10.4236/jamp.2021.91004 457 Downloads 1,192 Views Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method (Articles)

Orkun Tasbozan, Alaattin Esen, Nuri Murat Yagmurlu

Open Journal of Applied Sciences Vol.2 No.3，September 28, 2012

DOI: 10.4236/ojapps.2012.23029 7,423 Downloads 21,014 Views Citations
Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid (Articles)

Olugbenga Adebanjo Falode, Victor Sunday Chukwunagolu

Applied Mathematics Vol.7 No.9，May 31, 2016

DOI: 10.4236/am.2016.79087 2,104 Downloads 3,674 Views Citations
Exact Solutions to the Generalized Benjamin Equation (Articles)

Hua Gao, Genhu Di

Journal of Applied Mathematics and Physics Vol.2 No.7，June 20, 2014

DOI: 10.4236/jamp.2014.27074 3,095 Downloads 4,808 Views Citations
Bifurcations and Chaos in the Duffing Equation with One Degenerate Saddle Point and Single External Forcing (Articles)

Zhiyang Yang, Tao Jiang

Journal of Applied Mathematics and Physics Vol.5 No.9，October 16, 2017

DOI: 10.4236/jamp.2017.59161 1,055 Downloads 2,687 Views Citations
A New Method for the Exact Solution of Duffing Equation (Articles)

Ossou Nazila Fred Nelson, Zheng Yu, Bambi Prince Dorian, Yuya Wang

Journal of Applied Mathematics and Physics Vol.6 No.12，December 31, 2018

DOI: 10.4236/jamp.2018.612225 1,077 Downloads 4,388 Views Citations
Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation (Articles)

Haiduke Sarafian

American Journal of Computational Mathematics Vol.8 No.3，September 29, 2018

DOI: 10.4236/ajcm.2018.83021 656 Downloads 1,281 Views Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

Applied Mathematics Vol.8 No.2，February 28, 2017

DOI: 10.4236/am.2017.82017 6,515 Downloads 8,099 Views Citations
Nonlinear Oscillations of a Magneto Static Spring-Mass (Articles)

Haiduke Sarafian

Journal of Electromagnetic Analysis and Applications Vol.3 No.5，May 23, 2011

DOI: 10.4236/jemaa.2011.35022 4,512 Downloads 8,745 Views Citations
Invariant Subspaces and Exact Solutions to the Generalized Strongly Dispersive DGH Equation (Articles)

Xuexia Li, Hanze Liu, Lina Chang

Journal of Applied Mathematics and Physics Vol.8 No.8，August 26, 2020

DOI: 10.4236/jamp.2020.88126 362 Downloads 1,149 Views Citations
A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry-Dym (HD) Equation (Articles)

Emran Khoshrouye Ghiasi, Reza Saleh

Applied Mathematics Vol.8 No.11，November 13, 2017

DOI: 10.4236/am.2017.811113 1,538 Downloads 3,421 Views Citations
Coupling Interactions and Trapped Effects for a Triple-Well Potential (Articles)

Sezgin Aydın, Mehmet Şimşek

Journal of Modern Physics Vol.2 No.8，August 31, 2011

DOI: 10.4236/jmp.2011.28106 4,880 Downloads 9,618 Views Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation (Articles)

Kelei Zhang, Zhenfeng Zhang, Tao Yuwen

Advances in Pure Mathematics Vol.12 No.7，July 28, 2022

DOI: 10.4236/apm.2022.127035 170 Downloads 714 Views Citations

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