The diffusion equation with piecewise smooth initial conditions
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 everyw...
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Universiti Putra Malaysia Press
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf http://psasir.upm.edu.my/id/eprint/12546/ http://einspem.upm.edu.my/journal/volume5.1.php |
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my.upm.eprints.125462015-05-27T07:45:54Z http://psasir.upm.edu.my/id/eprint/12546/ The diffusion equation with piecewise smooth initial conditions Ashurov, Ravshan Butaev, Almaz 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. Universiti Putra Malaysia Press 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf 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 http://einspem.upm.edu.my/journal/volume5.1.php |
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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. |
| format |
Article |
| author |
Ashurov, Ravshan Butaev, Almaz |
| spellingShingle |
Ashurov, Ravshan Butaev, Almaz The diffusion equation with piecewise smooth initial conditions |
| author_facet |
Ashurov, Ravshan Butaev, Almaz |
| author_sort |
Ashurov, Ravshan |
| title |
The diffusion equation with piecewise smooth initial conditions |
| title_short |
The diffusion equation with piecewise smooth initial conditions |
| title_full |
The diffusion equation with piecewise smooth initial conditions |
| title_fullStr |
The diffusion equation with piecewise smooth initial conditions |
| title_full_unstemmed |
The diffusion equation with piecewise smooth initial conditions |
| title_sort |
diffusion equation with piecewise smooth initial conditions |
| publisher |
Universiti Putra Malaysia Press |
| publishDate |
2011 |
| url |
http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf http://psasir.upm.edu.my/id/eprint/12546/ http://einspem.upm.edu.my/journal/volume5.1.php |
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