In this study, Kelvin inversion theorem defined in spherical domains and applied to the solutions of Laplace equation are extended to the solutions of elliptic or ultrahyperbolic partial differential equations which are defined in regions bounded by ellipsoid or hyperboloid.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, Kelvin inversion theorem defined in spherical domains and applied to the solutions of Laplace equation are extended to the solutions of elliptic or ultrahyperbolic partial differential equations which are defined in regions bounded by ellipsoid or hyperboloid.
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Key Findings & Data:In this study, Kelvin inversion theorem defined in spherical domains and applied to the solutions of Laplace equation are extended to the solutions of elliptic or ultrahyperbolic partial differential equations which are defined in regions bounded by ellipsoid or hyperboloid.
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Conclusion & Impact:In this study, Kelvin inversion theorem defined in spherical domains and applied to the solutions of Laplace equation are extended to the solutions of elliptic or ultrahyperbolic partial differential equations which are defined in regions bounded by ellipsoid or hyperboloid.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, Kelvin inversion theorem defined in spherical domains and applied to the solutions of Laplace equation are extended to the solutions of elliptic or ultrahyperbolic partial differential equations which are defined in regions bounded by ellipsoid or hyperboloid.
Özet
Bu çalışmada, küresel bölgelerde tanımlanan ve Laplace denkleminin çözümlerine uygulanan Kelvin inversiyon teoremi, elipsoid ile sınırlandırılmış bölgelerde tanımlı eliptik kısmi türevli denklemlerin çözümlerine ve hiperboloid ile sınırlandırılmış bölgelerde tanımlı ultrahiperbolik kısmi türevli denklemlerin çözümlerine genişletilmiştir.
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Cite This Article
ALTIN, A., YOUNG, E. (2022). Kelvin inversiyon teoreminin genişletilmesi. Hacettepe Bulletin of Natural Sciences and Engineering Series B / Mathematics and Statistics, Cilt: 26 - Sayı:, 71–82. https://ajindex.com/articles/528340