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2012 | OriginalPaper | Chapter
An Interval Finite Difference Method of Crank-Nicolson Type for Solving the One-Dimensional Heat Conduction Equation with Mixed Boundary Conditions
Author : Malgorzata A. Jankowska
Published in: Applied Parallel and Scientific Computing
Publisher: Springer Berlin Heidelberg
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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.