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Bioheat transfer equation : the problem of FDM explicit scheme stability

Tuzikiewicz W., Duda M.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 4

139--144

In the paper the problem of explicit FDM scheme stability for the bio-heat transfer equation (the Pennes equation) is discussed. To formulate the appropriate condition the von Neumann approach is applied. The first chapter contains the known derivation of FDM stability condition for the Fourier equation. In the second part, a similar condition is found for the case of the bio-heat transfer equation containing both the perfusion and metabolic heat sources.