Homotopy Perturbation Method; Generalized Hirota-Satsuma Coupled KdV Equation - Articles

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 4,816 Downloads 8,285 Views Citations
New Solutions for an Elliptic Equation Method and Its Applications in Nonlinear Evolution Equations (Articles)

Minghuan Liu, Yuanguang Zheng

Journal of Applied Mathematics and Physics Vol.10 No.8，August 11, 2022

DOI: 10.4236/jamp.2022.108164 183 Downloads 880 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 3,914 Downloads 6,248 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11，November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,066 Downloads 6,050 Views Citations
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 1,840 Downloads 3,881 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 2,104 Downloads 9,351 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 5,275 Downloads 10,377 Views Citations
Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method (Articles)

Sujit Handibag, B. D. Karande

American Journal of Computational Mathematics Vol.3 No.1，March 29, 2013

DOI: 10.4236/ajcm.2013.31013 4,265 Downloads 7,858 Views Citations
Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method (Articles)

Nawal Abdullah Alzaid, Bashayr Ali Alrayiqi

Journal of Applied Mathematics and Physics Vol.7 No.9，September 28, 2019

DOI: 10.4236/jamp.2019.79147 664 Downloads 1,730 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 2,144 Downloads 3,797 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 27 Downloads 153 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 8,661 Downloads 19,293 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 4,569 Downloads 8,723 Views Citations
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 3,317 Downloads 5,611 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 4,816 Downloads 7,969 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 3,735 Downloads 5,922 Views Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

T. A. Nofel

Applied Mathematics Vol.5 No.6，April 2, 2014

DOI: 10.4236/am.2014.56081 8,075 Downloads 10,648 Views Citations
Analytical Expression for the Concentration of Substrate and Product in Immobilized Enzyme System in Biofuel/Biosensor (Articles)

R. Malini Devi, O. M. Kirthiga, L. Rajendran

Applied Mathematics Vol.6 No.7，June 23, 2015

DOI: 10.4236/am.2015.67105 3,345 Downloads 4,698 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method (Articles)

Kunjan Shah, Twinkle Singh

Journal of Geoscience and Environment Protection Vol.3 No.4，June 26, 2015

DOI: 10.4236/gep.2015.34004 3,795 Downloads 5,193 Views Citations
A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane (Articles)

Jeganathan Saranya, Lakshmanan Rajendran, Mariappan Uma Maheswari

American Journal of Analytical Chemistry Vol.7 No.4，April 22, 2016

DOI: 10.4236/ajac.2016.74035 2,301 Downloads 3,677 Views Citations

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