@article{Barannyk_Barannyk_Yuryk_2022, title={The exact solutions with generalized separation of variables of the nonlinear heat equation}, volume={74}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6667}, DOI={10.37863/umzh.v74i3.6667}, abstractNote={<p>UDC 517.9</p> <p>We propose a method for construction of exact solutions to nonlinear heat equation which is based on the classic method of separating variables, its generalization, and Lie reduction method. <br>Substitutions that reduce the nonlinear heat equation to ordinary differential equations are considered and the classes of exact solutions by means of the generalized separation of variables method are constructed.</p> <p> </p> <p> </p>}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Barannyk, A. F. and BarannykТ. А. and Yuryk, I. I.}, year={2022}, month={Apr.}, pages={294-310} }