Results 61 to 70 of about 1,124 (201)

Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model

open access: yes, 2022
The main purpose of this work is to build a numerical method for solving an epidemiological model that describes the spread of COVID-19 in some countries.
Paternoster B.   +3 more
core   +1 more source

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

open access: yesPartial 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   +1 more
doaj   +1 more source

DeepSeek‐Lattice‐KG: A Compact Language Model With Knowledge Graph Augmentation for Lattice Structure Design

open access: yesMaterials Genome Engineering Advances, EarlyView.
DeepSeek‐Lattice‐KG integrates a domain‐adapted 14B LLM with a Neo4j lattice knowledge graph distilled from 50,000 papers. It analyzes queries, retrieves supporting subgraphs, and generates grounded answers; on a 2100‐question, six‐domain benchmark, it achieves 94.8% accuracy.
Zhiyang Shu   +6 more
wiley   +1 more source

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

open access: yesDemonstratio 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   +1 more
doaj   +1 more source

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

open access: yesMathematical 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   +2 more
wiley   +1 more source

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

open access: yesResults 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   +1 more
doaj   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh   +2 more
wiley   +1 more source

Numerical treatments for some stochastic–deterministic chaotic systems

open access: yesResults 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   +4 more
doaj   +1 more source

SelExNet: A Self‐Supervised Physics‐Informed Framework for Multi‐Channel Joint RF and Gradient Waveform Optimization in 2D Spatially Selective Excitation

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To introduce SelExNet: a self‐supervised framework for two‐dimensional spatially selective excitation that jointly optimizes radiofrequency (RF) pulses and gradient waveforms, and extends to multi‐channel transmission MRI. Methods Building on prior RF‐only and joint RF‐gradient optimization approaches, SelExNet couples neural RF and ...
Yuliang Xiao   +5 more
wiley   +1 more source

How Does Progressivity Affect the Tax Cut Multiplier?

open access: yesInternational 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

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