Geodesic
On Certain Types of Solution of the Equation of Heat Conduction
Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 48-52

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Let f(x, y, z, t) satisfy the equationFor certain purposes, particularly in connection with the propagation of a boundary of fusion etc., it is of interest to discover solutions of (1) which permit the equation:to be solved explicitly in the form:This suggests the examination of solutions of the typewhereand f, φ, ψ are functions to be determined. To save repetition, Roman capitals denote arbitrary constants throughout. 
Paterson, Stewart. On Certain Types of Solution of the Equation of Heat Conduction. Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 48-52. doi: 10.1017/S2040618500032949
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