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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

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Abstract

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.

Item Type:Article
Keyword:the diffusion equation, Fourier integrals, Riesz summation method, piecewise smooth functions
Faculty or Institute:Institute for Mathematical Research
Publisher:UPM Press
ID Code:12546
Deposited By: Najwani Amir Sariffudin
Deposited On:01 Jun 2011 08:56
Last Modified:27 May 2013 07:52

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