Year: 1901
Type: article
Abstract: Fourier's Series were first applied to the solution of the Differential Equations which occur in the Theory of the Conduction of Heat and that of the Vibrations of Stretched Strings, namely,In the first, when the flow of heat is linear and the initial temperature is given in the range 0 < x < π by f(x), the solution can be put in the formIn this case there is no difficulty with regard to the differentiation of the infinite series, term by term, as the factor causes the series which we thus obtain to remain uniformly convergent with respect to x and t in the intervals concerned.
Author: H. S. Carslaw
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2001361683