AN ITERATION METHOD FOR THE DETERMINATION OF AN UNKNOWN BOUNDARY-CONDITION IN A PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEM Academic Article

abstract

• Consider the initial boundary value problemIn the context of the heat conduction problem, this models the case where the heat flux across the ends at the rod is a function of the temperature. If the heat exchange between the rod and its surroundings is purely by convection, then one commonly assumes that f is a linear function of the difference in temperatures between the ends of the rod and that of the surroundings, (Newton's law of cooling). For the case of purely radiative transfer of energy a fourth power law for the function f is usual, (Stefan's law).

authors

• Pilant, Michael
• Rundell, William

published proceedings

• PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

author list (cited authors)

• PILANT, M., & RUNDELL, W.

citation count

• 10

complete list of authors

• PILANT, M||RUNDELL, W

publication date

• February 1989

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Proceedings of the Edinburgh Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1017/S001309150000691X

start page

• 59

end page

• 71

volume

• 32

issue

• 1

URL

• http://dx.doi.org/10.1017/s001309150000691x