Results 41 to 50 of about 928 (167)

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Materials and Music: Selective Imperfection as a Generative Framework for Analysis, Creativity and Discovery

Interdisciplinary Materials, EarlyView.
Vibrations in matter, from spider webs to molecules, water to flames, share a grammar with music. We propose that creativity emerges when constraints force expansion beyond existing possibilities. Selective imperfection restores balance, enabling invention.
Markus J. Buehler
wiley   +1 more source

Numerical solution of a malignant invasion model using some finite difference methods

Demonstratio Mathematica, 2023
In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao, Waal Gysbert Nicolaas de   +1 more
doaj   +1 more source

Uniformly convergent numerical method for time-fractional convection–diffusion equation with variable coefficients

Partial Differential Equations in Applied Mathematics, 2023
This paper presents a uniformly convergent numerical scheme for singularly perturbed fractional order convection–diffusion equations with variable coefficients. First, the time-fractional derivative is considered in the Caputo sense and treated using the
Worku Tilahun Aniley, Gemechis File Duressa   +1 more
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

How Does Progressivity Affect the Tax Cut Multiplier?

International Economic Review, EarlyView.
ABSTRACT How does the targeting of personal income tax cuts affect the output multiplier? This paper provides quantitative evidence using a heterogeneous‐agent New‐Keynesian model calibrated to match US distributions of income, wealth, marginal tax rates, and marginal propensities to consume.
Christian Gillitzer
wiley   +1 more source

Nonstandard finite difference method for time-fractional singularly perturbed convection–diffusion problems with a delay in time

Results in Applied Mathematics
In this work, nonstandard finite difference method is presented for the numerical solution of time-fractional singularly perturbed convection–diffusion problems with a delay in time.
Worku Tilahun Aniley, Gemechis File Duressa   +1 more
doaj   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Numerical treatments for some stochastic–deterministic chaotic systems

Results in Physics, 2022
We aim in this paper to propose classes of nonlinear ordinary differential equations based on the concept of piecewise differentiation. These classes are known as piecewise deterministic–stochastic differential equations or vice versa.
N.H. Sweilam, S.M. AL-Mekhlafi, S.M. Hassan, N.R. Alsenaideh, A.E. Radwan   +4 more
doaj   +1 more source

Moving Aggregate Modified Autoregressive Copula‐Based Time Series Models (MAGMAR‐Copulas)

Journal of Time Series Analysis, EarlyView.
ABSTRACT Copula‐based time series models can model univariate and stationary time series in a flexible way by decomposing the joint distribution of consecutive observations into a copula and the stationary distribution. Implicitly, this approach assumes a finite Markov order. In reality, a time series may not follow the Markov property.
Sven Pappert
wiley   +1 more source