Using Crank-Nicolson Numerical Method to solve Heat-Diffusion Problem
DOI:
https://doi.org/10.25130/tjps.v28i3.1434Keywords:
Crank-Nicolson, Numerical Method, Heat-Diffusion equation, Alternating Directions Implicit (ADI) method.Abstract
The current study aimed to use the Crank-Nicolson numerical method to solve Heat-Diffusion Problem in comparison with the ADI method. In this paper, the general formula of the Crank-Nicolson Numerical Method was derived and applied to solve the heat diffusion. The same problem then has been solved using ADI numerical method. The results of the Crank-Nicolson numerical method were compared with that of the ADI numerical method. The comparison results revealed that Crank-Nicolson is more accurate than the results of ADI at the initial steps of the problem solution.
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