Results 81 to 90 of about 2,716 (179)

A study of nonlinear fractional-order biochemical reaction model and numerical simulations

Nonlinear Analysis
This article depicts an approximate solution of systems of nonlinear fractional biochemical reactions for the Michaelis–Menten enzyme kinetic model arising from the enzymatic reaction process.
Bheeman Radhakrishnan, Paramasivam Chandru, Juan J. Nieto   +2 more
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An efficient technique to study of time fractional Whitham–Broer–Kaup equations

International Journal of Mathematics for Industry
In this study, we derive the approximate analytical solution for the fractional coupled Whitham–Broer–Kaup (WBK) equations, a significant mathematical model for representing wave propagation in shallow water.
Nishant Bhatnagar, Kanak Modi, Lokesh Kumar Yadav, Ravi Shanker Dubey   +3 more
doaj   +1 more source

Application of the homotopy perturbation method and the homotopy analysis method for the dynamics of tobacco use and relapse

Journal of Interpolation and Approximation in Scientific Computing, 2014
We obtain approximate analytical solutions of two mathematical models of the dynamics of tobacco use and relapse including peer pressure using the homotopy perturbation method (HPM) and the homotopy analysis method (HAM). To enlarge the domain of convergence we apply the Pade approximation to the HPM and HAM series solutions.
Anant Kant Shukla, Hector Vazquez-Leal, T R Ramamohan, Luis Hernandez-Martinez, S. Srinivas, J. Huerta-Chua   +5 more
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Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

Journal of Applied Mathematics, 2012
The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium.
F. A. Godínez, M. A. Escobedo, M. Navarrete   +2 more
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A Comparative Study of q-Homotopy Analysis Method and Liao’s Optimal Homotopy Analysis Method [PDF]

Advances in Computer and Communication, 2020
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The variational iteration method is a special case of the homotopy analysis method

Applied Mathematics Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparative study to some semi numerical methods for solving nonlinear Wave-like Equations with variable coefficient

مجلة علوم ذي قار, 2019
In this paper we solve the nonlinear wave-like Equations with variable coefficient by three Semi numerical methods, varational iteration method (VIM), homotopy perturbation method (HPM) and homotopy analysis method (HAM).
Mohanad Riyadh
doaj  

Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations. [PDF]

Entropy (Basel), 2018
Özpınar F.
europepmc   +1 more source

Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

International Journal of Analysis and Applications, 2017
In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM).
D. Ziane, M. Hamdi Cherif
doaj  

Homotopy analysis method

In this paper, we study the homotopy analysis method (HAM) proposed by Shijun Liao in 1992. We mainly focus on the version called Normal HAM, in which an auxiliary convergence control parameter is introduced. In the following pages we will see the relevance of the auxiliary parameter, as well as introduce the generalized Taylor series. Subsequently, we
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