Results 21 to 30 of about 4,762,198 (315)

Limit cycles in the presence of convection, a first order analysis [PDF]

, 2006
We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
core   +1 more source

Limited different schemes for mutual diffusion problems [PDF]

E3S Web of Conferences, 2023
In the article, the problems of mutual diffusion, represented by a system of nonlinear differential equations of parabolic type, were modeled following numerical solving methods.
Muhamediyeva D. K., Muminov S., Shaazizova M. E., Hidirova Ch., Bahromova Yu.   +4 more
doaj   +1 more source

Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization

MethodsX, 2022
The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
doaj   +1 more source

Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group

Integral transforms and special functions, 2020
This paper deals with the fractional generalization of the integro-differential diffusion–wave equation for the Heisenberg sub-Laplacian, with homogeneous Bitsadze–Samarskii type time-nonlocal conditions. For the considered problem, we show the existence,
Michael Ruzhansky, N. Tokmagambetov, B. Torebek   +2 more
semanticscholar   +1 more source

Extended Smoothed Boundary Method for Solving Partial Differential Equations with General Boundary Conditions on Complex Boundaries [PDF]

, 2011
In this article, we describe an approach for solving partial differential equations with general boundary conditions imposed on arbitrarily shaped boundaries.
Aland S, Bardeen J Herring C, Darken L S, Emmerich H, Ginzburg V L, Hsun-Yi Chen, Hui-Chia Yu, K Thornton, Kirkendall E, Kirkendall E O, Li X, Li Z, Osher S, Osher S, Park C L Voorhees P W Thornton K, Peskin C S, Ratz A, Sethian J A, Smigelskas A D, Steinbach I, Teigen K E, Van de Velde E F, Voigt A Lowengrub J, Wu H, Yu H-C   +24 more
core   +1 more source

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Journal of Computational Physics, 2019
We introduce physics-informed neural networks – neural networks that are trained to solve supervised learning tasks while respecting any given laws of physics described by general nonlinear partial differential equations.
M. Raissi, P. Perdikaris, G. Karniadakis
semanticscholar   +1 more source

Local and blowing-up solutions for an integro-differential diffusion equation and system [PDF]

Chaos, Solitons & Fractals, 2019
In the present paper initial problems for the semilinear integro-differential diffusion equation and system are considered. The analogue of Duhamel principle for the linear integro-differential diffusion equation is proved.
Meiirkhan Borikhanov, B. Torebek
semanticscholar   +1 more source

DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps [PDF]

Neural Information Processing Systems, 2022
Diffusion probabilistic models (DPMs) are emerging powerful generative models. Despite their high-quality generation performance, DPMs still suffer from their slow sampling as they generally need hundreds or thousands of sequential function evaluations ...
Cheng Lu, Yuhao Zhou, Fan Bao, Jianfei Chen, Chongxuan Li, Jun Zhu   +5 more
semanticscholar   +1 more source

A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]

, 2006
The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Halidias, Nikolaos, Kloeden, Peter E.
core   +3 more sources

The Solution to a Differential-Difference Equation Arising in Optimal Stopping of a Jump-Diffusion Process

Revstat Statistical Journal, 2022
In this paper we present a solution to a second order differential–difference equation that occurs in different contexts, specially in control engineering and finance. This equation leads to an ordinary differential equation, whose homogeneous part is a
Cláudia Nunes , Rita Pimentel , Ana Prior   +2 more
doaj   +1 more source