Homotopy Perturbation - Articles - Scientific Research Publishing

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
A Note on the Proof of the Perron-Frobenius Theorem (Articles)

Yun Cheng, Timothy Carson, Mohamed B. M. Elgindi

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311235 6,608 Downloads 9,972 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
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
On Elastic Klein Bottle and Fundamental Groups (Articles)

A. E. El-Ahmady

Applied Mathematics Vol.4 No.3, March 21, 2013

DOI: 10.4236/am.2013.43074 4,161 Downloads 6,820 Views Citations
New Approach to the Generalized Poincare Conjecture (Articles)

Alexander A.ki Ermolits

Applied Mathematics Vol.4 No.9, September 25, 2013

DOI: 10.4236/am.2013.49183 3,435 Downloads 5,704 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 4,272 Downloads 6,061 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 4,521 Downloads 7,289 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
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 2,267 Downloads 4,304 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 2,922 Downloads 6,226 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 1,651 Downloads 3,506 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 441 Downloads 1,590 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 661 Downloads 1,823 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 610 Downloads 1,766 Views Citations
The Homotopical Proof of Π₁ (S, x_o) as a Fundamental Group in a General Interval (Articles)

Zigli David Delali, Obeng-Denteh William, Brew Lewis, Ansah Richard Kwame

Advances in Pure Mathematics Vol.11 No.5, May 17, 2021

DOI: 10.4236/apm.2021.115024 360 Downloads 1,487 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 310 Downloads 1,131 Views Citations

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