Results 61 to 70 of about 3,143,040 (244)

On the β$$ \beta $$‐effect in the baroclinic instability of a continuously stratified atmosphere

Quarterly Journal of the Royal Meteorological Society, EarlyView.
We solve the quasi‐geostrophic equation numerically to analyze baroclinic instability in a continuously stratified atmosphere. On the β$$ \beta $$‐plane, deviations from classical models alter instability growth rates and modal structures, leading to the emergence of unstable lobes and a stable region at very large wavelengths.
Juan Vázquez Portillo, Antonio Segalini
wiley   +1 more source

A numerical approach for multi-dimensional ψ-Hilfer fractional nonlinear Galilei invariant advection–diffusion equations

Results in Physics
In this paper, we introduce the ψ-Hilfer fractional version of nonlinear Galilei-invariant advection–diffusion equations in one and two dimensions. A new type of basic functions, namely the ψ-Chebyshev cardinal functions (CFs), is introduced to establish
M.H. Heydari, M. Razzaghi, M. Bayram
doaj   +1 more source

Solution to a Damped Duffing Equation Using He’s Frequency Approach

The Scientific World Journal, 2022
In this paper, we generalize He’s frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method.
Alvaro H. S. Salas, Gilder-Cieza Altamirano, Manuel Sánchez-Chero   +2 more
doaj   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Numerical treatment of linear Volterra integro differential equations using variational iteration algorithm with collocation

Partial Differential Equations in Applied Mathematics
To numerically solve the linear Volterra integro-differential equation, this study employs fourth-kind Chebyshev polynomials and the variational iteration algorithm with collocation, which is a combination of the variational iteration strategy and ...
Ikechukwu Jackson Otaide, Matthew Olanrewaju Oluwayemi   +1 more
doaj   +1 more source

An efficient wavelet based approximation method to water quality assessment model in a uniform channel

Ain Shams Engineering Journal, 2014
In this paper, we have developed an efficient shifted second kind Chebyshev wavelets based approximation method to water quality assessment model problem.
G. Hariharan
doaj   +1 more source

Chebyshev Wavelet Method for Numerical Solutions of Coupled Burgers Equation

Hacettepe Journal of Mathematics and Statistics, 2018
This paper deals with the numerical solutions of one dimensional time dependent coupled Burgers' equation with suitable initial and boundary conditions by using Chebyshev wavelets in collaboration with a collocation method.
Ö. Oruç, F. Bulut, A. Esen
semanticscholar   +1 more source

Substitution of Ti by Nb in Maraging Steel: Effects on Strengthening Mechanisms and Crystallographic Behavior

steel research international, EarlyView.
This work demonstrates that replacing Ti with Nb in maraging steel forms nanoscale Nb–Mo particles along boundaries, strengthening the alloy without relying on Ti phases. Heat‐treatment tuning promotes uniform crystal orientation and balanced grain boundaries, enabling strong yet ductile behavior.
Mohamad Masoumi, Manoel José, Gerardo Jesus Aracena Pérez, Isabel Ferreira Barros, Marcos Natan da Silva Lima, Geronimo Perez, Samuel Lucas Santos Medeiros, Pedro Henrique Pinheiro Lima, Luís Flávio Gaspar Herculano, Maria Vittoria Moraschini Reis, Sérgio Souto Maior Tavares, Farina Alexandre Bellegard, Fridman Daniel Pallos, Miloslav Béreš, Hamilton Ferreira Gomes de Abreu   +14 more
wiley   +1 more source

Pickin' up good vibrations: a systematic review of footfall detection and analysis in the realm of wildlife surveying

Wildlife Biology, EarlyView.
Exploration of new wildlife surveying methodologies that leverage advances in sensor technology and machine learning has led to tentative research into the application of seismology techniques. This, most commonly, involves the deployment of a footfall trap – a seismic sensor and data logger customised for wildlife footfall.
Benjamin J. Blackledge, Luigi La Spada, Robert A. Briers, Niamh M. McHugh, Patrick J. C. White   +4 more
wiley   +1 more source

Approximation of Analytic Functions by Chebyshev Functions

Abstract and Applied Analysis, 2011
We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
doaj   +1 more source