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Quasi-analytic solution of the diffusion equation

✍ Scribed by M.H. Cobble

Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
397 KB
Volume
279
Category
Article
ISSN
0016-0032

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✦ Synopsis

XBSTRXCT: An approximate method for solving the partial differential equation of conduction is developed that is continuous in time and discrete in space. The general solution is presented for a slab having ~ve nodes and time dependent boundaries and having an arbitrary initial temperature distribution. The corresponding case, for a four node and a three node slab, is given in Appendix I.

A typical example for a slab is solved using this quasi-analytic method, as well as by the traditional ~nite difference method. Both approximate solutions of the example problems are compared graphically with the exact solution.

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