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
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.
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