Homotopy Analysis Method; Boundary Layer Equations; Orthonormal Functions - Articles

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 6,202 Downloads 10,410 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 1,439 Views Citations
Series Solution of Non-Similarity Boundary-Layer Flow in Porous Medium (Articles)

Nabeela Kousar, Rashid Mahmood

Applied Mathematics Vol.4 No.8A，July 29, 2013

DOI: 10.4236/am.2013.48A018 6,254 Downloads 8,698 Views Citations
This article belongs to the Special Issue on Mathematical Modeling
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 3,990 Downloads 5,413 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 8,743 Views Citations
Analytical expressions of the concentrations of substrate and product in enzyme inhibition process (Articles)

Sankaranarayanan Muthukumar, Lakshmanan Rajendran

Natural Science Vol.5 No.9，September 2, 2013

DOI: 10.4236/ns.2013.59129 3,531 Downloads 5,614 Views Citations
The Boundary Layer Equations and a Dimensional Split Method for Navier-Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid (Articles)

Jian Su, Hongzhou Fan, Weibing Feng, Hao Chen, Kaitai Li

Int'l J. of Modern Nonlinear Theory and Application Vol.4 No.1，March 20, 2015

DOI: 10.4236/ijmnta.2015.41005 3,957 Downloads 4,653 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 4,166 Downloads 6,691 Views Citations
An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium (Articles)

Vishwanath B Awati, N.M Bujurke, Ramesh B Kudenatti

American Journal of Computational Mathematics Vol.1 No.2，July 4, 2011

DOI: 10.4236/ajcm.2011.12010 4,817 Downloads 10,469 Views Citations
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method (Articles)

Md. Mamun-Ur-Rashid Khan

Journal of Applied Mathematics and Physics Vol.7 No.1，January 7, 2019

DOI: 10.4236/jamp.2019.71001 1,226 Downloads 3,844 Views Citations
Analytical Expressions of Concentrations inside the Cationic Glucose-Sensitive Membrane (Articles)

Swaminathan Sevukaperumal, Shunmugham Loghambal, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.4，April 27, 2012

DOI: 10.4236/am.2012.34058 4,040 Downloads 6,940 Views Citations
Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses (Articles)

Seetharaman Usha, Vairamani Abinaya, Shunmugham Loghambal, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39160 3,845 Downloads 6,609 Views Citations
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk (Articles)

Hamed Shahmohamadi, Mahdi Mohammadpour

World Journal of Mechanics Vol.4 No.5，May 26, 2014

DOI: 10.4236/wjm.2014.45014 4,926 Downloads 6,738 Views Citations
Analytical Algorithm for Systems of Neutral Delay Differential Equations (Articles)

Aminu Barde, Normah Maan

Applied Mathematics Vol.10 No.9，September 25, 2019

DOI: 10.4236/am.2019.109054 724 Downloads 1,839 Views Citations
An Iteration Method to Solve the Boundary Layer Flow past a Flat Plate (Articles)

Ken-ichi Kusukawa, Shigeaki Suwa, Takeo R. M. Nakagawa

Journal of Applied Mathematics and Physics Vol.2 No.4，March 13, 2014

DOI: 10.4236/jamp.2014.24005 3,690 Downloads 6,992 Views Citations
Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems (Articles)

Vembu Ananthaswamy, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39154 5,404 Downloads 9,317 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 3,889 Downloads 6,128 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 1,444 Downloads 3,607 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 3,371 Downloads 4,400 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 3,464 Downloads 4,881 Views Citations

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