The exact solutions with generalized separation of variables of the nonlinear heat equation

• Date: 2022
• Main Authors: Barannyk, A. F., Barannyk, Т. А., Yuryk, I. I., Barannyk, А. Ф., Баранник, А. Ф., Баранник, Т. А., Юрик, І. І.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6667
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 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. Substitutions that reduce the nonlinear heat equation to ordinary differential equations are consid...