Homotopy Perturbation Method and the Korteweg-de Vries Equation [PDF]
Master Project in MathematicsIn this research project paper, our main aim is to solve linear and non-linear di_erential equations by perturbation methods.
Munyao, Gladys Ngina
core
Application of homotopy perturbation method to the Bratu-type equations [PDF]
A new algorithm is presented for solving the Bratu-type equations. The numerical scheme based on the homotopy perturbation method is deduced. Two boundary value problems and an initial value problem are given to illustrate effectiveness and convenience ...
He, Yinnian +2 more
core
Modified homotopy perturbation method for solving the Stokes equations [PDF]
A new approach is proposed for the stationary Stokes equations. Based on the homotopy perturbation method, some iterative algorithms are constructed, and four kinds of perturbation cases are considered respectively.
He, Yinnian +3 more
core +1 more source
Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version
The fact that most of the physical phenomena are modelled by nonlinear differential equations underlines the importance of having reliable methods for solving them.
Hector Vazquez-Leal +4 more
doaj +1 more source
A New Application of Homotopy Perturbation Method to the Reaction-diffusion Brusselator Model [PDF]
In this work, an analytical expression for the solution of the the reaction-diffusion Brusselator model is derived by the homotopy-perturbation method. The advantage of this work is twofold.
Hassan, T.H. +7 more
core +1 more source
Simulation of the predator-prey problem by the homotopy-perturbation method revised [PDF]
In this paper, the predator-prey problem is revisited. Previous solution by homotopy-perturbation method (HPM) is improved by treating the homotopy-perturbation method as an algorithm in a sequence of intervals (i.e.
Roslan, R. +2 more
core +2 more sources
Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
doaj +1 more source
Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems [PDF]
In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature ...
Hashim, Ishak +2 more
core +1 more source
In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu ...
Prakash Amit, Kaur Hardish
doaj +1 more source
Singularly perturbed homotopy analysis method
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nave, Ophir +2 more
openaire +2 more sources

