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In mathematical heat conduction, the Green's function number is used to uniquely categorize certain fundamental solutions of the heat equation to make existing solutions easier to identify, store, and retrieve. == Background == Numbers have long been used to identify types of boundary conditions.〔Luikov, A. V. (1968) Analytical Heat Diffusion Theory, Academic Press, ISBN 0124597564.〕〔Ozisik, M. N. (1980) Heat Conduction, John Wiley, p. 13, ISBN 047105481X.〕〔Nowak, A., Bialecki R., and Kurpisz, K. (1987) Evaluating eigenvalues for boundary value problems of heat conduction in rectangular and cylindrical coordinates, Int. J for Numerical Methods in Engineering, 24, 419 - 445.〕 The Green's function number system was proposed by Beck and Litkouhi in 1988〔Beck, J. V. and Litkouhi, B, (1988) Heat conduction number system, International Journal of Heat and Mass Transfer, 31, 505-515.〕 and has seen increasing use since then.〔Al-Nimr, M. A. and Alkam, M. K. (1997) A generalized thermal boundary condition, Heat and Mass Transfer, v. 33, pp. 157 – 161.〕〔De Monte, F. (2006) Multi-layer transient heat conduction using transition time scales, Int. Journal Thermal Sciences, v. 45, pp. 882 – 892.〕〔Lefebvre, G. (2010) A general modal-based numerical simulation of transient heat conduction in a one dimensional homogeneous slab, Energy and Buildings, v. 42, no. 12, pp. 2309 – 2322.〕〔Sarkar, D. and Haji-Sheikh, A. (2012) A view of the thermal wave behaviors in thin plates, International Communications in Heat and Mass Transfer, v. 39, No. 8, pp. 1009-1017.〕〔Zhou, Y. (2012) Heat conduction in a semi-infinite body with power-type initial and boundary conditions, International Journal of Thermophysics, v. 33, No. 12, pp. 2390-2406.〕 The number system has been used to catalog a large collection of Green’s functions.〔Cole, K.D., Beck, J. V., Haji-Sheikh, A., and Litkouhi, B. (2011), Heat Conduction Using Green's Functions,Taylor and Francis, (2nd ed.) ISBN 9781439813546.〕 Although described here for solutions of the heat equation, this number system could also be used for any phenomena described by differential equations such as diffusion, acoustics, electromagnetics, fluid dynamics, etc. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Green's function number」の詳細全文を読む スポンサード リンク
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