Abstract
Analytical methods allow to determine the temperature field in a simple shape bodies, such as the plate, cylinder or sphere. It is possible to find the analytical solution to two-dimensional problems only for regular-shape-regions, e.g. for a rectangle or spherical regions. Another problem, which stands as a barrier in the application of analytical methods is the complex mathematical apparatus, which everyone who intends to determine analytical solutions should be thoroughly familiar with. It should be emphasized, however, that analytical solutions are frequently used to help evaluate the accuracy of numerical solutions.
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(2006). Finite Difference Method. In: Solving Direct and Inverse Heat Conduction Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33471-2_21
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DOI: https://doi.org/10.1007/978-3-540-33471-2_21
Publisher Name: Springer, Berlin, Heidelberg
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