Results 11 to 20 of about 33,166 (180)

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

Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]

, 2008
The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
core   +1 more source

A computational approach for fractional convection-diffusion equation via integral transforms

Ain Shams Engineering Journal, 2018
In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
doaj   +1 more source

An analytical approach for the nonlinear forced vibration of clamped-clamped buckled beam [PDF]

Journal of Theoretical and Applied Vibration and Acoustics, 2017
Analytical solutions are attractive for parametric studies and consideration of the problems physics. In addition, analytical solutions can be employed as a reference framework for verification of numerical results.
Shahin Mohammadrezazadeh, Ali-Asghar Jafari, Mohammad Saeid Jafari   +2 more
doaj   +1 more source

Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls

Ain Shams Engineering Journal, 2016
In this article, an analysis has been performed to study the two dimensional viscous flow between slowly expanding and contracting walls with weak permeability.
E. Rahimi, A. Rahimifar, R. Mohammadyari, I. Rahimipetroudi, M. Rahimi-Esbo   +4 more
doaj   +1 more source

The homotopy analysis method and the Liénard equation [PDF]

International Journal of Computer Mathematics, 2011
16 pages, 9 figures, 1 ...
Abbasbandy, Saied, Lopez, Jose-Luis, Lopez-Ruiz, Ricardo   +2 more
openaire   +2 more sources

An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach

مجلة بغداد للعلوم, 2022
An efficient modification and a novel technique combining the homotopy concept with  Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced  in this paper  . Both
Khalid Hammood AL-Jizani, Jawad Kadhim K. Al-Delfi   +1 more
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

Weakly resonant double Hopf bifurcation in coupled nonlinear systems with delayed freedback and application of homotopy analysis method

Journal of Low Frequency Noise, Vibration and Active Control, 2019
In this paper, we study the dynamical behaviors of coupled nonlinear systems with delay coupling by the multiple scales method and the homotopy analysis method.
Youhua Qian, HX Fu, JM Guo
doaj   +1 more source

The homotopy analysis method for q-difference equations

Ain Shams Engineering Journal, 2018
The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
doaj   +1 more source