Evaluation of the Accuracy of the Solution to the Heat Conduction Problem with the Interval Method of Crank-Nicolson Type
Małgorzata A. Jankowska, Grażyna Sypniewska-Kamińska, Henryk Kamiński · 2012
Abstract: The paper deals with the interval method of Crank-Nicolson type used for some initial-boundary value problem for the one-dimensional heat conduction equation. The numerical experiments are directed at a short presentation of advantages of the interval solu-tions obtained in the floating-point interval arithmetic over the approximate ones. It is also shown how we can deal with errors that occur during computations in terms of interval analysis and interval arithmetic.