Parabolic and Hyperbolic Partial Differential Equations
Heinz Rutishauser · Birkhäuser Boston eBooks · 1990
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). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.