Results 71 to 80 of about 183,315 (287)
On the variational homotopy perturbation method for nonlinear oscillators
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
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
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
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
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
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
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
: 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
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
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

