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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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Datum:2026
Hauptverfasser: Barannik, A., Barannik, Т., Yurik, I., Баранник, Анатолій, Баранник, Тетяна, Юрик, Іван
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8985
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.
DOI:10.3842/umzh.v78i3-4.8985

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