An interval finite difference method of crank-nicolson type for solving the one-dimensional heat conduction equation with mixed boundary conditions

Authors:
Malgorzata A. Jankowska
Affiliations:
Institute of Applied Mechanics, Poznan University of Technology, Poznan, Poland
Venue:
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
Year:
2010

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Abstract

In the paper an interval method for solving the one-dimensio-nal heat conduction equation with mixed boundary conditions is considered. The idea of the interval method is based on the finite difference scheme of the conventional Crank-Nicolson method adapted to the mixed boundary conditions. The interval method given in the form presented in the paper includes the error term of the conventional method.