A numerical algorithm was developed for the one-dimensional unsteady-conduction heat-transfer equation to model the effects of volume heating in fusion hybrid-system neutron multipliers of slab geometry for any fusion-core pulsing scenario. The algorithm was shown to be highly accurate in all cases where it could be compared to the exact solution. The algorithm was compared to a previously developed simple analytic expression for predicting average multiplier temperatures over a wide range of fusion-core pulsing parameters. For most pulsed fusion-core scenarios, the analytic expression agreed with the numerical algorithm results to within a few percent or less. In the worst case, which corresponded to theta pinch-type operation (where the heat-pulse length is small relative to the multiplier thermal time constant and the time between pulses is large relative to the time constant), the analytic expression was accurate to within 10–15%. Thus, for most applications of temperature estimation and prediction, the analytic expression is adequate. A simple nomogram was developed to allow the average slab temperatures to be calculated easily as functions of the heat-pulse length, cooling time, and slab thermal time constant. As the computations showed, for those cases in which high slab average temperatures were due to short pulse lengths and long times between pulses, large average temperature decreases required slab thermal time constants that were small relative to the heating-pulse length and, therefore, very thin slabs. Finally, it was shown that, for long-pulsed systems, allowing high-intensity volume heating of the slab near the faces only, with no internal heat generation over the bulk of the interior, permitted the average temperature to be reduced by an order of magnitude relative to the uniform volume heating with the same total slab power generation. For short-pulsed systems with a large energy input per pulse (such as impact fusion and theta pinch), where the heat generated does not have time to diffuse throughout and from the slab during the heating pulse and where the temperature profiles at the end of the heating pulse would thus mirror the heat generation profiles, minimum peak temperatures are obtained by heating the volume uniformly.