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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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