Enhanced Multistage Homotopy Perturbation Method: Approximate Solutions of Nonlinear Dynamic Systems
Abstract and Applied Analysis, 2014 We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that is based on the homotopy perturbation method (HPM) and the usage of time subintervals to find the approximate solution of differential equations with ...
Daniel Olvera, Alex Elías-Zúñiga
doaj +1 more source
Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order
Open Physics, 2016 The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe.
Johnston S. J. +4 more
doaj +1 more source
He-Laplace Method for Linear and Nonlinear Partial Differential Equations
Journal of Applied Mathematics, 2012 A new treatment for homotopy perturbation method is introduced. The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials.
Hradyesh Kumar Mishra, Atulya K. Nagar
doaj +1 more source
Analytical solutions for the fractional Fisher's equation [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems.
H. Kheiri, A. Mojaver, S. Shahi
doaj
The Delta-Homotopy Perturbation Method
Homotopy perturbation and analysis methods have been widely used to obtain both approximate and exact so- lutions to nonlinear problems. In general, these two methods are based on the Taylor series with respect to an embedding parameter.
openaire +1 more source
Homotopy Perturbation Method for the Strongly Nonlinear Darcy-Forscheimer Model [PDF]
, 2015 We derive approximate analytical solution to the strongly nonlinear Darcy-Forscheimer model through the homotopy perturbation method. The approximate solutions compared well with numerical results computed via the bvp4c routine of Matlab as well as ...
Akindeinde, Saheed Ojo
core +1 more source
Elzaki transform homotopy perturbation method for partial differential equations [PDF]
, 2017 Partial differential equations (PDEs) occur in many applications and play a big role in engineering and applied sciences. Since some PDEs are quite difficult to solve, many new methods are introduced to the academic community.
Zulkiflee, Fasihah
core
Application of Homotopy Perturbation Method to Nonlinear System of PDEs [PDF]
, 2015 In this study, Homotopy Perturbation Method (HPM) is used to obtain the analytically exact solution of linear and nonlinear systems of partial differential equations (PDEs).
Ahmad, Jamshad, Mohiuddin, Ghulam
core +1 more source
Modification of Homotopy Perturbation method for addressing systems of PDEs [PDF]
This work employs a refined variation of the Homotopy Perturbation Method (HPM), termed the Modified Homotopy Perturbation Method (MHPM), designed to obtain accurate solutions for significant systems of partial differential equations (PDEs).
Osama Alkhazaleh
core +1 more source
Laplace transform homotopy perturbation method for the approximation of variational problems. [PDF]
Springerplus, 2016 Filobello-Nino U +13 more
europepmc +1 more source