Homotopy - Articles - Scientific Research Publishing

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
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 75 Downloads 402 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 5,422 Downloads 10,776 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 4,940 Downloads 8,691 Views Citations
Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism (Articles)

Vincent Michael Raj Margret PonRani, Lakshmanan Rajendren

Natural Science Vol.2 No.11, November 30, 2010

DOI: 10.4236/ns.2010.211160 5,606 Downloads 10,731 Views Citations
Approximate Solution of Non-Linear Reaction Diffusion Equations in Homogeneous Processes Coupled to Electrode Reactions for CE Mechanism at a Spherical Electrode (Articles)

A. Eswari, S. Usha, L. Rajendran

American Journal of Analytical Chemistry Vol.2 No.2, February 25, 2011

DOI: 10.4236/ajac.2011.22010 6,428 Downloads 11,687 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 7,419 Downloads 12,927 Views Citations
Analytical solution of coupled non-linear second order differential equations in enzyme kinetics (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Natural Science Vol.3 No.6, June 22, 2011

DOI: 10.4236/ns.2011.36063 8,855 Downloads 19,847 Views Citations
A two-parameter mathematical model for immobilizedenzymes and Homotopy analysis method (Articles)

Rathinasamy Angel Joy, Athimoolam Meena, Shunmugham Loghambal, Lakshmanan Rajendran

Natural Science Vol.3 No.7, July 29, 2011

DOI: 10.4236/ns.2011.37078 6,864 Downloads 13,813 Views Citations
Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with Non-Mechanism-Based Enzyme Inactivation (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29158 4,819 Downloads 9,296 Views Citations
Mathematical model for steady state current at ppo-modified micro-cylinder biosensors (Articles)

K. Venugopal, A. Eswari, L. Rajendran

Journal of Biomedical Science and Engineering Vol.4 No.9, September 30, 2011

DOI: 10.4236/jbise.2011.49079 4,504 Downloads 8,382 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 4,217 Downloads 7,448 Views Citations
Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition (Articles)

Wei Xing, Boying Wu

Applied Mathematics Vol.3 No.7, June 21, 2012

DOI: 10.4236/am.2012.37114 4,870 Downloads 7,716 Views Citations
On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation (Articles)

Jafar Saberi-Nadjafi, Reza Buzhabadi, Hassan Saberi Nik

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38129 6,008 Downloads 10,570 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 4,063 Downloads 7,183 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 4,376 Downloads 7,282 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3, May 8, 2013

DOI: 10.4236/apm.2013.33045 5,701 Downloads 11,462 Views Citations
Iterative approximate solutions of kinetic equations for reversible enzyme reactions (Articles)

Sarbaz H. A. Khoshnaw

Natural Science Vol.5 No.6, June 17, 2013

DOI: 10.4236/ns.2013.56091 4,060 Downloads 6,652 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 6,581 Downloads 9,367 Views Citations
This article belongs to the Special Issue on Mathematical Modeling

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