On the convergence of the heat balance integral method
Mosally, F. Wood, Alastair S. Al-Fhaid, A.
Mosally, F.
Wood, Alastair S.
Al-Fhaid, A.
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2005
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Abstract
Convergence properties are established for the piecewise linear heat balance integral solution of a benchmark moving boundary problem, thus generalising earlier results [Numer. Heat Transfer 8 (1985) 373]. A convergence rate of O(n¿1) is identified with minor effects at large values of the Stefan number ß (slow interface movement). The correct O(n¿1/2) behaviour for incident heat flux is recovered for ß ¿ 0 (pure heat conduction) as previously found [Numer. Heat Transfer 8 (1985) 373¿382]. Numerical illustrations support the theoretical findings.
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Mosally, F., Wood, A.S. and Al-Fhaid, A. (2005) On the convergence of the heat balance integral method. Applied Mathematical Modelling. Vol. 19, No. 10, pp. 903-912.
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