Homotopy Analysis Method - Articles - Scientific Research Publishing

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 3,371 Downloads 4,399 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 3,463 Downloads 4,879 Views Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation (Articles)

Gendai Gu, Hongxiao Peng

Int'l J. of Modern Nonlinear Theory and Application Vol.4 No.4，November 12, 2015

DOI: 10.4236/ijmnta.2015.44016 5,939 Downloads 7,895 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 5,362 Downloads 8,742 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 7,390 Downloads 20,917 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 4,241 Downloads 8,186 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 4,353 Downloads 6,722 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 6,200 Downloads 10,408 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 3,989 Downloads 5,410 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 2,088 Downloads 3,596 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 1,439 Downloads 2,685 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 435 Downloads 1,115 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 179 Downloads 695 Views Citations
Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology (Articles)

Vipul K. Baranwal, Ram K. Pandey, Manoj P. Tripathi, Om. P. Singh

Journal of Modern Physics Vol.2 No.4，April 22, 2011

DOI: 10.4236/jmp.2011.24033 5,210 Downloads 10,209 Views Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics (Articles)

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4，April 19, 2013

DOI: 10.4236/ns.2013.54061 4,165 Downloads 6,686 Views Citations
Magnetohydrodynamic Flow of Viscous Fluid over a Non-Linearly Stretching Sheet (Articles)

Yohannes Yirga, Daniel Tesfay

Open Access Library Journal Vol.1 No.7，October 31, 2014

DOI: 10.4236/oalib.1101030 1,402 Downloads 2,584 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 1,517 Downloads 3,341 Views Citations
Optimal Homotopy Analysis of MHD Natural Convection Flow of Thixotropic Fluid under Subjection of Thermal Stratification: Boundary Layer Analysis (Articles)

T. Oreyeni, E. Omokhuale

American Journal of Computational Mathematics Vol.9 No.2，June 26, 2019

DOI: 10.4236/ajcm.2019.92009 750 Downloads 1,437 Views Citations
Global Sensitivity Analysis on Civil Engineering Structures (Bridges) Using the Homotopy Finite Element (HFE) Method (Articles)

Kunaka Kuziva Farai, Heng Zhang

Open Access Library Journal Vol.11 No.6，June 21, 2024

DOI: 10.4236/oalib.1111678 23 Downloads 129 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 7,131 Downloads 12,220 Views Citations

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