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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