The diffusion equation with piecewise smooth initial conditions
Ashurov, Ravshan and Butaev, Almaz (2011) The diffusion equation with piecewise smooth initial conditions. Malaysian Journal of Mathematical Sciences, 5 (1). pp. 101-110. ISSN 1823-8343
Official URL: http://einspem.upm.edu.my/journal/volume5.1.php
In this paper we consider an initial-value problem for diffusion equation in three dimensional Euclidean space. The initial value is a piecewise smooth function. To solve this problem we apply Fourier transform method and since Fourier integrals of a piecewise smooth function do not converge everywhere, we make use of Riesz summation method.
Repository Staff Only: Edit item detail