The Optimal Homotopy Asymptotic Method - Articles - Scientific Research Publishing

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 4,315 Downloads 8,377 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 4,441 Downloads 6,933 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 5,857 Downloads 9,749 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 6,287 Downloads 10,671 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 4,261 Downloads 6,578 Views Citations
Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen (Articles)

Chinnasamy Thangapandi, Lakshmanan Rajendran

Natural Science Vol.5 No.3，March 26, 2013

DOI: 10.4236/ns.2013.53045 3,961 Downloads 6,270 Views Citations
Numerical Solution of Model of Cancer Invasion with Tissue (Articles)

Farhad Hatami, Mohammad Bagher Ghaemi

Applied Mathematics Vol.4 No.7，July 11, 2013

DOI: 10.4236/am.2013.47143 4,435 Downloads 7,458 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 4,058 Downloads 5,551 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 4,708 Downloads 6,818 Views Citations
Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation (Articles)

Fadhil H. Easif, Saad A. Manaa, Bewar A. Mahmood, Majeed A. Yousif

Applied Mathematics Vol.6 No.4，April 17, 2015

DOI: 10.4236/am.2015.64062 3,803 Downloads 5,541 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 2,143 Downloads 3,787 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 1,528 Downloads 2,882 Views Citations
Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem (Articles)

Zhongzhou Dong, Ling Wang

Journal of Applied Mathematics and Physics Vol.6 No.5，May 15, 2018

DOI: 10.4236/jamp.2018.65081 718 Downloads 1,682 Views Citations
This article belongs to the Special Issue on Applications of Mathematical Theory and Equations in Physics
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 367 Downloads 1,265 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 515 Downloads 1,332 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 223 Downloads 819 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 21 Downloads 129 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 5,273 Downloads 10,366 Views Citations
New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems (Articles)

Olusola Ezekiel Abolarin

American Journal of Computational Mathematics Vol.3 No.2，June 24, 2013

DOI: 10.4236/ajcm.2013.32018 4,813 Downloads 8,267 Views Citations
A New Class of Vector Padé Approximants in the Asymptotic Numerical Method: Application in Nonlinear 2D Elasticity (Articles)

Abdellah Hamdaoui, Rachida Hihi, Bouazza Braikat, Noureddine Tounsi, Noureddine Damil

World Journal of Mechanics Vol.4 No.2，February 18, 2014

DOI: 10.4236/wjm.2014.42006 4,263 Downloads 6,008 Views Citations

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