Some numerical results on the parameter identification problem for the heat conduction equation
Werner Neundorf (1984)
Banach Center Publications
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Werner Neundorf (1984)
Banach Center Publications
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Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Fatullayev, Afet Golayoğlu (2002)
Mathematical Problems in Engineering
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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.
S. P. Bingulac (1967)
Matematički Vesnik
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A. Kirsch, R. Reemtsen (1984)
Numerische Mathematik
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Yao-Chuang Han, Yu-Feng Nie, Zhan-Bin Yuan (2019)
Applications of Mathematics
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This paper is concerned with mathematical and numerical analysis of the system of radiative integral transfer equations. The existence and uniqueness of solution to the integral system is proved by establishing the boundedness of the radiative integral operators and proving the invertibility of the operator matrix associated with the system. A collocation-boundary element method is developed to discretize the differential-integral system. For the non-convex geometries, an element-subdivision...
J. DESCLOUX (1970)
Numerische Mathematik
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Tomoyasu Nakagawa, Teruo Ushijima (1976)
Publications mathématiques et informatique de Rennes
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Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
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G. Windisch, U. Streit (1984)
Banach Center Publications
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Bahadir, A.R. (2002)
Mathematical Problems in Engineering
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