Results 11 to 20 of about 3,506 (170)

A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives

International Journal of Differential Equations
This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors,
B. Radhakrishnan, P. Chandru, W. D. Mergia   +2 more
doaj   +2 more sources

Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]

, 2009
The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, Abbasbandy, Abbasbandy, Abbasbandy, Abbasbandy, Abbasbandy, Abbasbandy, Abbasbandy, Hayat, Hayat, Hayat, Hayat, Hayat, Liao, Liao, Liao, Liao, Liao, Liao, Parkes, Sajid, Sajid, Sajid, Sakovich, Sakovich, Schäfer, Tan, Tan, Wadati, Wang, Wu   +30 more
core   +1 more source

Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]

, 2010
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Degasperis A., E. J. Parkes, S. Abbasbandy   +2 more
core   +1 more source

Concentration Flux Dependent on Radiative MHD Casson Flow with Arrhenius Activation Energy: Homotopy Analysis Method (HAM) with an Evolutionary Algorithm

International Journal of Heat and Technology, 2020
Heat transfer analysis in nanofluids is an active research field due to its extraordinary physical and chemical properties. In the current study, the focus lies on the effects of Stefan blowing when a non-Newtonian Casson base fluid flows over a surface which stretches linearly. A uniform transverse magnetic field is employed.
Naganthran, Kohilavani, Ahmad Zeeshan, Ahmad Zeeshan, Md. Basir, Md. Faisal, Shehzad, Nasir, Nazar, Roslinda, Choudhary, Rakesh, Balaji, Sankarasubramanian   +6 more
openaire   +3 more sources

Solution of the Davey–Stewardson equation using homotopuy analysis method

Nonlinear Analysis, 2010
In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been
H. Jafari, M. Alipour
doaj   +1 more source

The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions

Journal of Applied Mathematics, 2013
We introduce two powerful methods to solve the Davey-Stewartson equations: one is the homotopy perturbation method (HPM) and the other is the homotopy analysis method (HAM). HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison
Hassan A. Zedan, W. Barakati, Nada Hamad
doaj   +1 more source

The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations

Abstract and Applied Analysis, 2012
We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
Hassan A. Zedan, Eman El Adrous
doaj   +1 more source

Comparative Study of Homotopy Analysis and Renormalization Group Methods on Rayleigh and Van der Pol Equations [PDF]

, 2015
A comparative study of the Homotopy Analysis method and an improved Renormalization Group method is presented in the context of the Rayleigh and the Van der Pol equations.
Datta, Dhurjati Prasad, Palit, Aniruddha
core   +1 more source

An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation [PDF]

Computational Ecology and Software, 2017
In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution.
H.A. Wahab, Rafi Ullah, Saira Bhatti, et al.   +2 more
doaj  

Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations [PDF]

Eurasian Journal of Science and Engineering, 2018
In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA).
Ahmed Entesar, Omar Saber, Waleed Al-Hayani   +2 more
doaj   +1 more source