Results 241 to 250 of about 183,315 (287)

The Optimal Homotopy Perturbation Method

2011
An effective and convenient mathematical tool for nonlinear differential equations is the homotopy perturbation method, a combination of the classical perturbation method and the homotopy technique. This method, proposed by J.H. He in 1998 [30, 40, 115, 138, 139], does not require a small parameter in the equation in contrast to the traditional ...
Vasile Marinca, Nicolae Herisanu
openaire   +1 more source

Comparison between the homotopy analysis method and homotopy perturbation method

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly

International Journal of Modern Physics B, 2020
A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology.
N. Anjum, Ji-Huan He
semanticscholar   +1 more source

Comparing Homotopy Perturbation Method and Adomian Decomposition Method

AIP Conference Proceedings, 2008
In this paper, homotopy perturbation method and Adomian decomposition method, as two well known methods, for solving functional equations are compared. It has been shown that these two methods are the same, for solving special equations. For illustration and more explanation of the idea, two examples are provided.
Jafar Biazar, Zainab Ayati, Hamideh Ebrahimi   +2 more
openaire   +1 more source

An optimal and modified homotopy perturbation method for strongly nonlinear differential equations

Nonlinear dynamics, 2023
T. Roy, D. Maiti
semanticscholar   +1 more source

Homotopy perturbation method for homogeneous Smoluchowsk's equation

Numerical Methods for Partial Differential Equations, 2010
AbstractIn this work, homotopy perturbation method (HPM) has been used to solve homogeneous Smoluchowsk's equation. The results will be compared with Adomian decomposition method (ADM). It is shown that the results of the HPM are the same as those obtained by ADM. To illustrate the reliability of the method, some special cases of the equation have been
Biazar, Jafar, Ayati, Zainab, Yaghouti, Mohammad Reza   +2 more
openaire   +2 more sources

Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study

Qualitative Theory of Dynamical Systems, 2022
M. M. Bhatti, O. Bég, R. Ellahi, T. Abbas   +3 more
semanticscholar   +1 more source

Application of homotopy perturbation method and homotopy analysis method to fractional vibration equation

International Journal of Computer Mathematics, 2010
In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
S. Das, P. K. Gupta
openaire   +1 more source

Analytical solution of bipolar fuzzy heat equation using homotopy perturbation method

Granular Computing, 2023
Muhammad Akram, Muhammad Bilal
semanticscholar   +1 more source

Homotopy perturbation method for coupled Schrödinger–KdV equation

Nonlinear Analysis: Real World Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources