Homotopy Analyses Method - Articles - Scientific Research Publishing

Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4, April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,956 Downloads 4,333 Views Citations
A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method (Articles)

Shams A. Ahmed

Applied Mathematics Vol.9 No.3, March 19, 2018

DOI: 10.4236/am.2018.93014 1,113 Downloads 2,360 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11, November 13, 2020

DOI: 10.4236/am.2020.1111074 2,309 Downloads 10,296 Views Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10, October 12, 2012

DOI: 10.4236/am.2012.310174 7,634 Downloads 14,023 Views Citations
A Comparative Study of Adomain Decompostion Method and He-Laplace Method (Articles)

Badradeen A. A. Adam

Applied Mathematics Vol.5 No.21, December 1, 2014

DOI: 10.4236/am.2014.521312 5,838 Downloads 7,370 Views Citations
Numerical Study on an Applicable Underground Mining Method for Soft Extra-Thick Coal Seams in Thailand (Articles)

Nay Zarlin, Takashi Sasaoka, Hideki Shimada, Kikuo Matsui

Engineering Vol.4 No.11, November 20, 2012

DOI: 10.4236/eng.2012.411095 7,020 Downloads 11,504 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 6,430 Downloads 11,689 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 8,856 Downloads 19,848 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 13,814 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 9,297 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 8,383 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 6,010 Downloads 10,573 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
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 9,368 Views Citations
This article belongs to the Special Issue on Mathematical Modeling
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods (Articles)

Amnah S. Al-Johani

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33027 3,461 Downloads 5,984 Views Citations
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method (Articles)

Devaraj Shanthi, Vembu Ananthaswamy, Lakshmanan Rajendran

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

DOI: 10.4236/ns.2013.59128 4,926 Downloads 8,330 Views Citations

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