Variational Homotopy Perturbation Method - Articles

Non-Linear Analysis of Vibrations of Non-Linear System Subjected to Multi-Excitation Forces via a Non-Linear Absorber (Articles)

Taha H. El-Ghareeb, Yaser S. Hamed, Mohamed S. Abd Elkader

Applied Mathematics Vol.3 No.1, January 4, 2012

DOI: 10.4236/am.2012.31011 7,372 Downloads 13,139 Views Citations
Sliding Mode Control for Singularly Perturbed Systems Using Accurate Reduced Model (Articles)

Ayman E. M. Ahmed, Mohamed Zohdy

International Journal of Modern Nonlinear Theory and Application Vol.10 No.1, March 5, 2021

DOI: 10.4236/ijmnta.2021.101001 741 Downloads 2,060 Views Citations
Overlapping Nonmatching Grid Method for the Ergodic Control Quasi Variational Inequalities (Articles)

H. Mécheri, S. Saadi

American Journal of Computational Mathematics Vol.3 No.1A, April 30, 2013

DOI: 10.4236/ajcm.2013.31A005 4,287 Downloads 7,399 Views Citations
This article belongs to the Special Issue on Computational Geometry
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 3,989 Downloads 6,498 Views Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order (Articles)

Anwar Zeb, M. Ikhlaq Chohan, Gul Zaman

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38136 5,660 Downloads 9,497 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 7,770 Downloads 21,683 Views Citations
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 4,516 Downloads 8,914 Views Citations
Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor (Articles)

Mayakkannan Sivasankari, Lakshmanan Rajendran

Natural Science Vol.4 No.12, December 19, 2012

DOI: 10.4236/ns.2012.412132 4,625 Downloads 7,501 Views Citations
A Modified Homotopy Analysis Method for Solving Boundary Layer Equations (Articles)

Yinlong Zhao, Zhiliang Lin, Shijun Liao

Applied Mathematics Vol.4 No.1, January 25, 2013

DOI: 10.4236/am.2013.41003 6,435 Downloads 11,163 Views Citations
A Weaker Constraint Qualification of Globally Convergent Homotopy Method for a Multiobjective Programming Problem (Articles)

Guangming Yao, Wen Song

Applied Mathematics Vol.4 No.2, February 27, 2013

DOI: 10.4236/am.2013.42052 4,425 Downloads 7,067 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 4,319 Downloads 6,136 Views Citations
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method (Articles)

Mohamed Abdalla Darwish, Bothayna S. Kashkari

American Journal of Computational Mathematics Vol.4 No.2, March 20, 2014

DOI: 10.4236/ajcm.2014.42005 4,556 Downloads 7,357 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 2,296 Downloads 4,366 Views Citations
Application of OHAM-DJ to the System of Burgers’ Equations (Articles)

Fatheah Ahmad Alhendi, Bothayna Saleh Kashkari, Aisha Abdullah Alderremy

American Journal of Computational Mathematics Vol.6 No.3, August 11, 2016

DOI: 10.4236/ajcm.2016.63022 2,953 Downloads 6,289 Views Citations
Homotopy Analysis of MHD Free Convective Micropolar Fluid Flow along a Vertical Surface Embedded in Non-Darcian Thermally-Stratified Medium (Articles)

Olubode Kolade Koriko, Tosin Oreyeni, Adeola John Omowaye, Isaac Lare Animasaun

Open Journal of Fluid Dynamics Vol.6 No.3, September 16, 2016

DOI: 10.4236/ojfd.2016.63016 1,689 Downloads 3,577 Views Citations
Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate (Articles)

Rana H. Ali, Kais I. Ibraheem

Open Access Library Journal Vol.7 No.10, October 15, 2020

DOI: 10.4236/oalib.1106803 445 Downloads 1,632 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 637 Downloads 1,853 Views Citations
Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method (Articles)

Olubode Kolade Koriko, Adeola John Omowaye, Amos Oladele Popoola, Tosin Oreyeni, Abigail Ayooye Adegbite, Emmanuel Abiodun Oni, Emmanuel Omokhuale, Muhammad Muhammad Altine

American Journal of Computational Mathematics Vol.12 No.2, June 28, 2022

DOI: 10.4236/ajcm.2022.122017 333 Downloads 1,171 Views Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary (Articles)

Ogugua N. Onyejekwe

Journal of Applied Mathematics and Physics Vol.13 No.6, June 25, 2025

DOI: 10.4236/jamp.2025.136116 82 Downloads 433 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 6,902 Downloads 12,522 Views Citations

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