Results 71 to 80 of about 183,315 (287)

On the variational homotopy perturbation method for nonlinear oscillators

open access: yes, 2011
In this paper we discuss a recent application of a variational homotopy perturbation method to rather simple nonlinear oscillators .
Francisco M. Fernández   +2 more
core   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

open access: yesEngineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad   +3 more
wiley   +1 more source

A general approach to the linear stability of viscoelastic shear‐flows

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +1 more source

Exploring the Effects of Reduced Gravitational Field Impacts on Convective Heat Transfer: A Comprehensive Review

open access: yesHeat Transfer, Volume 55, Issue 1, Page 764-774, January 2026.
ABSTRACT This review explores the impact of gravitational instability on convective heat transfer, integrating existing research results and theoretical models. Gravitational instability is vital in promoting or hindering convective actions in different systems, such as atmospheric events, ocean currents, and industrial processes.
Hossam A. Nabwey   +3 more
wiley   +1 more source

Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order

open access: yesAbstract and Applied Analysis, 2014
We use the homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem. The obtained results by the homotopy perturbation method are then compared with the Adomian decomposition method. We solve the fractional Bratu-
Hossein Jafari   +2 more
doaj   +1 more source

Fractional View Analysis of Acoustic Wave Equations, Using Fractional-Order Differential Equations

open access: yesApplied Sciences, 2020
In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations.
Izaz Ali   +5 more
doaj   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

open access: yesSECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as modelling the pollution of a system of lakes. The proposed scheme is based on homotopy
Mehmet MERDAN
doaj  

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

open access: yesStudies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak   +3 more
wiley   +1 more source

The modified homotopy perturbation method with an auxiliary term for the nonlinear oscillator with discontinuity

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2019
Recently, a modified homotopy perturbation method with an auxiliary term was proposed for obtaining an analytical approximate solution of a nonlinear equation.
Syed Ahmed Pasha   +2 more
doaj   +1 more source

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