Exact solutions with generalized separation of variables for the nonlinear heat equation with a source

UDC 517.9 We propose a method for the construction of exact solutions to nonlinear heat-conduction equation with a source based on the classical method of separation of variables, its generalization, and the reduction method. We consider substitutions  reducing the nonlinea...

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Bibliographic Details
Date:2024
Main Authors: Barannyk, A., Barannyk, T., Yuryk, I., Баранник, Анатолій, Баранник, Тетяна, Юрик, Іван
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7700
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal