An asymmetric backward problem for the inhomogeneous parabolic equation with time-dependent diffusivity
| Autor: | Phong Luu Hong, Quan Pham Hoang, Triet Le Minh |
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| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Thermal diffusivity 01 natural sciences Instability 010101 applied mathematics Computational Mathematics Exact solutions in general relativity Parabolic cylindrical coordinates Hadamard transform Heat transfer Cylinder 0101 mathematics Polar coordinate system Mathematics |
| Zdroj: | Computational and Applied Mathematics. 37:3241-3255 |
| ISSN: | 1807-0302 0101-8205 |
| Popis: | In this paper, we deal with an asymmetric case of the non-homogeneous backward parabolic problem associated with time-dependent diffusivity in polar coordinates which arises in describing the heat transfer in cylinder. In general, this problem is severely ill-posed by the Hadamard instability. To subdue the instability of this problem, we apply the modified quasi-boundary value method. According to some a priori assumptions on the exact solution, we get an explicit error estimate of Holder type for all $$t\in (0,T]$$ . In addition, a numerical experiment is given to illustrate the efficiency and flexibility of our method. |
| Databáze: | OpenAIRE |
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