Heat propagation in one homogeneous bar with boundary conditions that depends of a real parameter

Authors

  • Lilian M. Kieling Reis Departamento de Matemática, Centro de Ciências Naturais e Exatas - CCNE Universidade Federal de Santa Maria - UFSM, Santa Maria, RS.
  • Vanilde Bisognin Departamento de Matemática, Centro de Ciências Naturais e Exatas - CCNE Universidade Federal de Santa Maria - UFSM, Santa Maria, RS.

DOI:

https://doi.org/10.5902/2179460X24870

Abstract

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 ut2 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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References

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.

Published

1981-12-12

How to Cite

Reis, L. M. K., & Bisognin, V. (1981). Heat propagation in one homogeneous bar with boundary conditions that depends of a real parameter. Ciência E Natura, 3(3), 01–04. https://doi.org/10.5902/2179460X24870