A non-field analytical method for heat transfer problems through a moving boundary

Abstract This paper presents an extension of the non-field analytical method—known as method Kulish—to solving heat transfer problems in domains with a moving boundary. is important type various applications different areas science. Among these are due to chemical reactions, ignition and explosions, combustion, many others. The general form solution has been obtained for case arbitrarily After that some particular cases considered. them such boundary speed changing linearly, parabolically, exponentially, polynomially. Whenever possible, solutions thus have compared known solutions. final part devoted determination front propagation law Stefan-type at large times. Asymptotic found several propagation.