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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia Press
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12546/ http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf |
| _version_ | 1848841871407710208 |
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| author | Ashurov, Ravshan Butaev, Almaz |
| author_facet | Ashurov, Ravshan Butaev, Almaz |
| author_sort | Ashurov, Ravshan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T07:50:07Z |
| format | Article |
| id | upm-12546 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:50:07Z |
| publishDate | 2011 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Ashurov, Ravshan Butaev, Almaz The diffusion equation with piecewise smooth initial conditions |
| title | 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_short | The diffusion equation with piecewise smooth initial conditions |
| title_sort | diffusion equation with piecewise smooth initial conditions |
| url | http://psasir.upm.edu.my/id/eprint/12546/ http://psasir.upm.edu.my/id/eprint/12546/ http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf |