On the Controllability for the 1D-Heat Equation with Dirichlet Boundary condition, in the Presence of a Scale-Invariant ParameterBenalia, KarimInternational Journal of Mathematics & Computer Science
This paper deals with the null controllability of a free boundary problem for the classical 1D heat equation governed by a multiplicative control, locally supported in space. We prove that for a class of nonnegative initial state, there exists a piecewise control that derives the state exactly to...
In this article a sixth-order approximation method (in both temporal and spatial variables) for solving nonhomogeneous heat equations is proposed. We first develop a sixth-order finite difference approximation scheme for a two-point boundary value problem, and then heat equation is approximated by ...
The heat capacity of quasi-one-dimensional (1D) chains of Xe atom/Nmolecule adsorbates (C , C ) in the outer grooves of closed single-walled carbon nanotube (c-SWNT) bundles have been first investigated at a temperature range of 2-60 K. Below 3-4 K, the temperature dependencies of C...
The equilibrium heat capacity of the 1D system (TMTTF)(2)Br with spin density wave and the 2D system 1T-TaS(2) with charge density wave were investigated in the temperature range between 0.07K and 10K and in a magnetic field up to 10T. For both materials an additional contribution to th...
Heat Diffusion Equation In subject area: Engineering Mathematically, the heat diffusion equation is a differential equation that requires integration constants in order to have a unique solution. From: Spacecraft Thermal Control, 2012 About this pageSet alert Discover other topics ...
In modern dairy technology, milk is almost always subjected to a heat treatment; typical examples are: thermization (65 C × 15 sec), low temperature – long time pasteurization (65 C × 30 min), high temperature – short time (72 C × 15 sec) pasteurization, ultra-high temperature ster...
any nanowire connecting the two membranes. The temperatureTcorresponds to the average temperature at the two extremities of the nanowiresT=T1+T22, with the condition|T1−T2|≪Tenforced in all the experiments (see Methods). The thermal conductance of the nanowire is obtained using the equation...
Then, add the following code to~/.bashrc, or run these commands upon any new session. The environment variableLIBPNG_ROOTcan then be used to reference the library in the Makefile: To compile and run the heat equation, use interactive sessions on the relevant compute nodes for CPU and GP...
transient-1D-Heat-Diffusion-in-finHe**er 上传6.61 KB 文件格式 zip 一维热传导在翅膀中的瞬态问题可通过有限差分(FD)方法进行求解,包括FTCS(Forward Time Centered Space)、BTCS(Backward Time Centered Space)、Crank-Nicolson以及CTCS(Centered Time Centered Space)等离散化方案。这些方法可以有效地模拟瞬态情况下...