Results 11 to 20 of about 29,425,986 (162)

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   +1 more source

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2014
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab, Tahir Khan, Muhammad Shakil, et al.   +2 more
doaj   +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.
Abbasbandy, S., Parkes, E.J.
core   +4 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, S., Parkes, E.J.
core   +4 more sources

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   +4 more sources

COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]

, 2013
In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
core   +6 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

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

Homotopy Analysis Method for an Epidemic Model

Walailak Journal of Science and Technology, 2013
In this paper, Homotopy analysis method (HAM) is employed to solve a system of nonlinear equations. The model is the problem of the spread of a non-fatal disease in a population with a constant size, over the period of the epidemic. Mathematical modeling
Jafar BIAZAR, Mohammad HOSAMI
doaj   +1 more source

Homotopy analysis transform algorithm to solve time-fractional foam drainage equation

Nonlinear Engineering, 2016
This paper emphasizes on finding the solution for a foam drainageequation using the technique of modified homotopy analysis transform method (MHATM). MHATM is a new amalgamation of the homotopy analysis method and Laplace transform method with homotopy ...
Singh Mukesh, Naseem Mohd, Kumar Amit, Kumar Sunil   +3 more
doaj   +1 more source