Results 61 to 70 of about 183,315 (287)
A new modification of the homotopy perturbation method [PDF]
, 2010 In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method
Abu Bakar, Mohd Rizam +4 more
core
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
Applied Mathematics, 2018 In this paper, comparison of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the solution of the partial differential equation. For illustration and more explanation of the idea, some examples are provided.
openaire +2 more sources
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain +3 more
wiley +1 more source
An improved homotopy perturbation method for solving local fractional nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Local fractional nonlinear oscillators are studied by a modification of the homotopy perturbation method coupled with the variational iteration method.
Yong-Ju Yang, Shun-Qin Wang
doaj +1 more source
Iterative Approximate Solutions of Kinetic Equations for Reversible Enzyme Reactions [PDF]
, 2013 We study kinetic models of reversible enzyme reactions and compare two techniques for analytic approximate solutions of the model. Analytic approximate solutions of non-linear reaction equations for reversible enzyme reactions are calculated using the ...
Khoshnaw, S.
core
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool +3 more
wiley +1 more source
Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves
Ain Shams Engineering Journal, 2018 In this work, we aim to apply a numerical approach based on Homotopy perturbation transform method (HPTM) for derive the exact and approximate solutions of nonlinear fifth order KdV equations for study magneto-acoustic waves in plasma.
Amit Goswami +2 more
doaj +1 more source
, 2009 An approximate perturbed direct homotopy reduction method is proposed and applied to two perturbed modified Korteweg-de Vries (mKdV) equations with fourth order dispersion and second order dissipation.
Cao C W +15 more
core +1 more source
Comparison between Adomian’s method and He’s homotopy perturbation method
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Öziş T., Yildirim A.
openaire +3 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source