Homotopy Analyses Method - Articles - Scientific Research Publishing

Application of HAM for Nonlinear Integro-Differential Equations of Order Two (Articles)

Zainidin Eshkuvatov, Davron Khayrullaev, Muzaffar Nurillaev, Shalela Mohd Mahali, Anvar Narzullaev

Journal of Applied Mathematics and Physics Vol.11 No.1, January 17, 2023

DOI: 10.4236/jamp.2023.111005 251 Downloads 1,008 Views Citations
Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems (Articles)

Sara Ghaderi

Applied Mathematics Vol.3 No.5, May 16, 2012

DOI: 10.4236/am.2012.35062 6,736 Downloads 10,740 Views Citations
Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating (Articles)

Satyaban Panigrahi, Motahar Reza

Engineering Vol.6 No.12, November 24, 2014

DOI: 10.4236/eng.2014.612077 3,535 Downloads 4,919 Views Citations
Homotopy Analysis Method for Equations of the Type Δ²=b(x,y) and Δ²u=b(x,y,u) (Articles)

Selcuk Yildirim

Journal of Applied Mathematics and Physics Vol.3 No.4, April 20, 2015

DOI: 10.4236/jamp.2015.34049 3,622 Downloads 5,474 Views Citations
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method (Articles)

Mohamed Elbadri

Applied Mathematics Vol.9 No.2, February 22, 2018

DOI: 10.4236/am.2018.92009 1,613 Downloads 4,994 Views Citations
Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method (Articles)

Zhongzhou Dong, Fen Wang

Open Access Library Journal Vol.5 No.2, February 28, 2018

DOI: 10.4236/oalib.1104383 798 Downloads 1,842 Views Citations
Investigation of the Surface Brightness Model in the Milky Way via Homotopy Perturbation Method (Articles)

Abdullah A. Alatawi, Mona Aljoufi, Fahad M. Alharbi, Abdelhalim Ebaid

Journal of Applied Mathematics and Physics Vol.8 No.3, March 9, 2020

DOI: 10.4236/jamp.2020.83033 602 Downloads 1,545 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 1,544 Downloads 3,506 Views Citations
Exact Solution of Fractional Black-Scholes European Option Pricing Equations (Articles)

Maryeme Ouafoudi, Fei Gao

Applied Mathematics Vol.9 No.1, January 30, 2018

DOI: 10.4236/am.2018.91006 1,640 Downloads 4,267 Views Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation (Articles)

Gendai Gu, Hongxiao Peng

International Journal of Modern Nonlinear Theory and Application Vol.4 No.4, November 12, 2015

DOI: 10.4236/ijmnta.2015.44016 6,174 Downloads 8,800 Views Citations
Analytical solution of the concentration and current in the electoenzymatic processes involved in a PPO-rotating-disk-bioelectrode (Articles)

Govindhan. Varadharajan, Lakshmanan. Rajendran

Natural Science Vol.3 No.1, January 29, 2011

DOI: 10.4236/ns.2011.31001 5,159 Downloads 10,701 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 7,158 Downloads 13,526 Views Citations
Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method (Articles)

Fateme Ghomanjani, Sara Ghaderi, Mohammad Hadi Farahi

Intelligent Control and Automation Vol.3 No.1, February 28, 2012

DOI: 10.4236/ica.2012.31004 6,175 Downloads 10,433 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 5,621 Downloads 9,415 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 7,718 Downloads 21,603 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 4,478 Downloads 8,837 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 4,590 Downloads 7,405 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 6,068 Downloads 10,270 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 6,400 Downloads 11,084 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 4,391 Downloads 6,991 Views Citations

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