Cannon, J.R.: The One—Dimensional Heat Equation, p. 484. Addison-Wesley, Reading (1984)Cannon, JR: The One-Dimensional Heat Equation. Addison-Wesley, Menlo Park (1984) MATHCannon, J.R.: The One-Dimensional Heat Equation. Encyclopedia of Mathematics and Its Applications, vol. 23. ...
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HEAT equationFOURIER seriesWe look for solutions of the one-dimensional heat equation which are space-time periodic, i.e. they satisfy the propertyfor all and derive their Fourier series expansions. Here are two constants with For general equation of the form where are two consta...
Caglar. The numerical solution of the one-dimensional heat equation by using third degree B-spline functions. Chaos, Solitons & Fractals, 38(4):1197-1201, 2008.H. Caglar, M. Ozer, N. Caglar,The numerical solution of the one-dimensional heat equation by using third degree B-spline ...
We study the oscillation behavior of solutions to the one-dimensional heat equation and give some interesting examples. We also demonstrate a simple ODE method to find explicit solutions of the heat equation with certain particular initial conditions.Discrete & Continuous Dynamical Systems...
The purpose of this paper is to provide the transient solution to the one-dimensional heat conduction equation with internal heat generation that describes the transfer and generation of heat throughout a thermoelectric device. The solution proposed can be included in a model in which the Peltier ...
Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem We study the observability and some of its consequences (controllability, identification of diffusion coefficients) for one-dimensional heat equations with... ...
The maximum principle in the case of boundary control problems involving the one-dimensional heat conduction equation 来自 ResearchGate 喜欢 0 阅读量: 25 作者: F Unger 摘要: An investigation is conducted of boundary control problems for a plate, a sphere, and a cylinder. A maximum principle ...
Nevertheless, it captures the basic dynamics 似乎简单。 然而,它夺取基本的动力学 [translate] a新鮮試讀 Tries to read freshly [translate] asorted out for 整理为 [translate] aUnsteady one-dimensional heat conduction is governed by the equation 不平稳的一维热量传导由等式治理 [translate] ...
Barna I.F. and Ma´yt´as L, Analytic Solutions for the One-dimensional Compressible Euler Equation with Heat Conduction and with Different Kind of Equations of State (English Sum- mary), Miskolc Math. Notes 14 (2013), 785-799.