Heat propagation in one homogeneous bar with boundary conditions that depends of a real parameter
DOI:
https://doi.org/10.5902/2179460X24870Abstract
In this work the permanent temperature, in one homogeneous bar with boundary conditions that depends of a real parameters, was determined.
The problem to be resolved was find the analytical solution of the heat equation ut =α2 uxx with the initial condition u (x, 0) = 0, ≤ x ≤ L and the contours conditions u (0, t) = 0 and u (L, t) = sen t, t> 0.
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BISOGNIN, V. e RIES, L.K. Determinação da temperatura de uma barra homogênea com condições iniciais e de contorno – Solução Numérica. Projeto de Pesquisa (inédito). Dep. Matemática, CCNE,
UFSM, Santa Maria, 1979.
CONTE, S.D. Elementary Numerical Analysis, an algorithmic approach.
McGraw-Hill, Inc., 1965.
DAHLQUIST, G. e BJÖRCK. Numerical Methods. Prentice - Hall, Inc.
Englewood Cliffs, New Jersey, 1974.
SOUTHWORTH, R.W. e DELEEUW, S.L. Digital Computation and Numerical Methods. McGraw-Hill Book Company, 1965.
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