Results 21 to 30 of about 1,183,195 (322)

Feynman-Kac formula for heat equation driven by fractional white noise [PDF]

, 2010
We establish a version of the Feynman-Kac formula for the multidimensional stochastic heat equation with a multiplicative fractional Brownian sheet. We use the techniques of Malliavin calculus to prove that the process defined by the Feynman-Kac formula ...
Hu, Yaozhong, Nualart, David, Song, Jian
core   +3 more sources

Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]

Journal of Sciences, Islamic Republic of Iran, 2019
In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra  integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
doaj   +1 more source

Sets of unique continuation for heat equation [PDF]

, 2014
We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution.
Nadirashvili, Nikolai, Varkentina, Nadezda   +1 more
core   +2 more sources

Heat conduction in potato cubes: an experiment to estimate thermal diffusivity using arduino [PDF]

Revista Brasileira de Ensino de Física
This work presents a low-cost experiment to investigate heat conduction inside potato cubes, using thermistors as a thermometric instrument and Arduino as a data acquisition platform.
V.P.M. de Almeida, V.L.B. de Jesus, D.G.G. Sasaki   +2 more
doaj   +1 more source

BOUNDARY CONTROL OF ROD TEMPERATURE FIELD WITH A SELECTED POINT

Вестник КазНУ. Серия математика, механика, информатика, 2022
In this paper, we study the issue of boundary control of the temperature field of a rod with a selected point. The main purpose of the work is to clarify the conditions for the existence of a boundary control that ensures the transition of the ...
K. B. Imanberdiyev, B. E. Kanguzhin, A. M. Serik, B. Uaissov   +3 more
doaj   +1 more source

Singular standing-ring solutions of nonlinear partial differential equations

, 2009
We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profile and blowup rate of these solutions are the same as those of solutions of
Bricmont, Budd, Budd, Ditkowsky, Fibich, Fibich, Fibich, Gadi Fibich, Galaktionov, Galaktionoy, Gavish, Giga, Giga, Grow, Guy Baruch, Herrero, Herrero, Herrero, Ilan, Matos, Merle, Merle, Nir Gavish, Raphael, Raphael, Ren, Sulem, Velaquez, Zaag, Zaag, Zaag   +30 more
core   +1 more source

Optimal Control of Heat Equation by Coupling FVM and FEM Codes

Mathematics
In this paper, the optimal control theory is applied to a temperature optimization problem by coupling finite element and finite volume codes. The optimality system is split into the state and adjoint system.
Samuele Baldini, Giacomo Barbi, Antonio Cervone, Federico Giangolini, Sandro Manservisi, Lucia Sirotti   +5 more
doaj   +1 more source

New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation

Mathematical and Computational Applications, 2021
Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied ...
Ádám Nagy, Mahmoud Saleh, Issa Omle, Humam Kareem, Endre Kovács   +4 more
doaj   +1 more source

Hexagonal Grid Computation of the Derivatives of the Solution to the Heat Equation by Using Fourth-Order Accurate Two-Stage Implicit Methods

Fractal and Fractional, 2021
We give fourth-order accurate implicit methods for the computation of the first-order spatial derivatives and second-order mixed derivatives involving the time derivative of the solution of first type boundary value problem of two dimensional heat ...
Suzan Cival Buranay, Nouman Arshad, Ahmed Hersi Matan   +2 more
doaj   +1 more source

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

FEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang, Naoki Sunagawa, Toma Kashima, Kiyohiko Igarashi, Akimasa Miyanaga, Shinya Fushinobu   +5 more
wiley   +1 more source