A new technique is presented for predicting the generally neglected Soret and Dufour flux effects in laminar one-dimensional premixed gaseous flames. The time-dependent flame equations are transformed into a form which permits their solution to be directly obtained using methods in the literature that have been utilized for the classical-type flame problem in which the additional transport fluxes are neglected. Computed results, using the transformed equations, shed light upon the important role that thermal diffusion can play in accurately predicting the characteristics of hydrogen-air flames.