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A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL: A NON-CLASSICAL SYMMETRY APPROACH
Preview AbstractNew solutions to the Frank-Kamenetskii partial differential equation modeling a thermal explosion in a cylindrical vessel are obtained. The classical Lie group method is used to determine an approximate solution valid in a small interval around the axis of the cylinder. Non-classical symmetries are used to determine solutions valid after blow-up. These solutions have multiple singularities. Solutions are plotted and analyzed.