Results 21 to 30 of about 2,716 (179)

THE HOMOTOPY ANALYSIS METHOD IN BIFURCATION ANALYSIS OF DELAY DIFFERENTIAL EQUATIONS [PDF]

International Journal of Bifurcation and Chaos, 2012
In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, double Hopf, Neimark–Sacker, etc. In particular, we discuss the behavior of the systems in the neighborhoods of double Hopf points.
Andrea Bel, Walter Reartes
openaire   +3 more sources

Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

Walailak Journal of Science and Technology, 2013
In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences.
Muhammad USMAN, Tamour ZUBAIR, Irfan RASHID, Imran RASHID, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN   +5 more
doaj   +1 more source

Probing Homotopy Continuation Method for Solving Nonlinear Magnetic Network Equations

IEEE Access, 2021
Nonlinear magnetic network is an effective model to solve the magnetic field of the motor. For the strong nonlinearity of magnetic network parameters, it is difficult to solve the nonlinear magnetic network equations.
Peipei Yang, Yanping Liang, Xu Bian, Chenguang Wang   +3 more
doaj   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

Applied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li, Xinye Li, Shuhao Huo, Chen Xie   +3 more
doaj   +1 more source

A note on the homotopy analysis method

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Homotopy Analysis Method for Time-Fractional Schrödinger Equations

Walailak Journal of Science and Technology, 2012
The Homotopy Analysis Method (HAM) is applied to tackle time-fractional Schrödinger equations. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging.
Nauman ASGHAR, Kamran ALI, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN   +3 more
doaj   +1 more source

The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2016
The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab, Saira Bhatti, Mohammad Naeem   +2 more
doaj  

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  

Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)

Propulsion and Power Research, 2018
Analytical and numerical analyses have performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates approaching or receding from each other symmetrically.
M.R. Shirkhani, H.A. Hoshyar, I. Rahimipetroudi, H. Akhavan, D.D. Ganji   +4 more
doaj   +1 more source

An improved adaptation of homotopy analysis method [PDF]

Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadaf, Maasoomah, Akram, Ghazala
openaire   +2 more sources