Parabolic and Hyperbolic Partial Differential Equations

Heinz Rutishauser

Chapter Chapter 11 in Lectures on Numerical Mathematics, 1990, pp 358-389 from Springer

Abstract: Abstract We consider the temperature distribution y(x,t) along a homogeneous rod of length L, which at one end (x=L) is held at temperature 0, while at the other end (x=0) the temperature is prescribed as a function b(t) of time. Let the thermal conductivity of the rod be f(x), the initial temperature be given as a(x), and let there be interior heat generation g(x,t) (cf. Fig. 11.1).

Keywords: Coefficient Matrix; Trapezoidal Rule; Parabolic Problem; Heat Conduction Problem; Hyperbolic Partial Differential Equation (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4612-3468-5_11

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