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SUMMARYA ÿnite di erence solution for a system of non-linear integro-di erential equations modelling the steadystate combined radiative-conductive heat transfer is proposed. A new backward-forward ÿnite di erence scheme is formulated for the Radiative Transfer Equation. The non-linear heat conduction equation is solved using the Kirchho transformation associated with a centred ÿnite di erence scheme. The coupled system of equations is solved using a ÿxed-point method, which relates to the temperature ÿeld. An application on a real insulator composed of silica ÿbres is illustrated. The results show that the method is very e cient.

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