Determination of the source/sink term in a heat equation.
Wang, Ping, Zheng, Kewang (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wang, Ping, Zheng, Kewang (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
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Werner Neundorf (1984)
Banach Center Publications
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Halabi, Yahia S. (1986)
International Journal of Mathematics and Mathematical Sciences
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Dehghan, Mehdi (2001)
Mathematical Problems in Engineering
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Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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Qian, Zhi, Fu, Chu-Li, Xiong, Xiang-Tuan (2005)
International Journal of Mathematics and Mathematical Sciences
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Azari, Hossein, Parzlivand, F., Zhang, Shuhua
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We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.
Stanislav Šťastník, Jiří Vala, Hana Kmínová (2007)
Kybernetika
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Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests...
W Golik (1991)
Applicationes Mathematicae
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Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi, Gao, Xiang (2006)
International Journal of Mathematics and Mathematical Sciences
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Kačur, Jozef, Mihala, Patrik, Tóth, Michal
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We discuss the numerical modeling of heat exchange between the infiltrated water and porous media matrix. An unsaturated-saturated flow is considered with boundary conditions reflecting the external driven forces. The developed numerical method is efficient and can be used for solving the inverse problems concerning determination of transmission coefficients for heat energy exchange inside and also on the boundary of porous media. Numerical experiments support our method.