Analytical solutions of the heat diffusion equation for 3ω method geometry

Journal of Applied Physics

Volumn 108, Issue 8, 2010, Pages

  Duquesne, J Y ^a   Fournier, D ^a   Fretigny C ^b  

^a INSTITUT DES NANOSCIENCES DE PARIS   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL FORMULATION; ANALYTICAL SOLUTIONS; ASYMPTOTIC BEHAVIORS; BULK SOLIDS; COMPUTATIONAL TOOLS; CONDUCTIVITY MEASUREMENTS; DATA ANALYSIS; DIFFUSIVITIES; G FUNCTION; HEAT DIFFUSION EQUATIONS; NUMERICAL INTEGRATIONS; PHASE DATA;

CHEMICAL INDUSTRY; DATA REDUCTION; PARTIAL DIFFERENTIAL EQUATIONS;

DIFFUSION;

EID: 78149443371     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3486441     Document Type: Article

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11. Computation was performed with mpmath, Python library for arbitrary-precision floating-point arithmetic (http://code.google.com/p/mpmath/) . Results were also reproduced using commercial computational tools Mathematica (Wolfram Research Inc.) and Maple (Waterloo Maple Inc.).
12. 0 (rzt) we have computed directly the double integral and after simplification we obtain an integral form which corresponds to the Meijer definition formula (9.301) of G 24 22 (x ∫ 1,1,1/2,0 1,3/2) in (Ref.).
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