Results 81 to 90 of about 29,425,986 (162)

Homotopy Perturbation Method For Fractional Shallow Water Equations

Sultan Qaboos University Journal for Science, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj   +1 more source

Homotopy Analysis Method Based on Optimal Value of the Convergence Control Parameter for Solving Semi-Differential Equations

Journal of Mathematical Extension, 2011
In this paper, homotopy analysis method is directly extended to investigate nth order semi-differential equations and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives ...
H. Hosseini Fadravi∗, H. Saberi Nik, R. Buzhabadi   +2 more
doaj  

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

Homotopy Analysis Method for Ablowitz–Ladik Lattice

, 2011
In this paper, the homotopy analysis method is successfully applied to solve the systems of differential-difference equations. The Ablowitz-Ladik lattice system are chosen to illustrate the method.
Engui Fan, Qi Wang, Benny Y. C. Hon
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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
doaj   +1 more source

A discrete homotopy perturbation method for non-linear Schrodinger equation [PDF]

, 2015
A general analysis is made by homotopy perturbation method while taking the advantages of the initial guess, appearance of the embedding parameter, different choices of the linear operator to the approximated solution to the non-linear Schrodinger ...
H. A. Wahab, Muhammad Naeem, et al., Khalid Usman   +2 more
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Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates [PDF]

, 2015
This paper deals with the approximate analytical solution of the Navier-Stokes equations in cylindrical coordinates. The homotopy perturbation method is used to get the analytical approximation.
H. A. Wahab, Saira Bhatti, et al., Anwar Jamal   +2 more
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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  

Homotopy Methods to Compute Equilibria in Game Theory [PDF]

This paper presents a complete survey of the use of homotopy methods in game theory.Homotopies allow for a robust computation of game-theoretic equilibria and their refinements.
Herings, P. Jean-Jacques, Peeters, Ronald   +1 more
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