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Numerical solutions for travelling combustion waves of a solid material are sought. The algorithm of computation is based on a two-sided shooting method. It is found that there is a lower bound of the wave speed c, say c", such that for c < c* no numerical solution can be constructed. This c* is a function of the activation energy of the medium.doi:10.1017/s0334270000000618 fatcat:akcuiz3xfjerhi6ducammnixvi