Construction of exact solutions of nonlinear heat conduction equations

UDC 517.958 We consider substitutions reducing  nonlinear heat-conduction equations with a source to a system of two ordinary differential equations. Classes of exact solutions  of these equations with generalized separation of variables are constructed.

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Bibliographic Details
Date:2026
Main Authors: Barannik, A., Barannik, Т., Yurik, I., Баранник, Анатолій, Баранник, Тетяна, Юрик, Іван
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8985
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal