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The diffusion equation with piecewise smooth initial conditions


Citation

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

Abstract / Synopsis

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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Additional Metadata

Item Type: Article
Divisions: Institute of Advanced Technology
Publisher: Universiti Putra Malaysia Press
Keywords: The diffusion equation; Fourier integrals; Riesz summation method; Piecewise smooth functions
Depositing User: Najwani Amir Sariffudin
Date Deposited: 01 Jun 2011 16:56
Last Modified: 27 May 2015 15:45
URI: http://psasir.upm.edu.my/id/eprint/12546
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