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
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 08:56 |
| Last Modified: | 27 May 2015 07:45 |
| URI: | http://psasir.upm.edu.my/id/eprint/12546 |
| Statistic Details: | View Download Statistic |
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