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Journals / Natural and Applied Sciences Journal / 2024 / Cilt: 7 Sayı: 2

Fourier Analysis of Inverse Coefficient Nonlinear Hyperbolic Equations under Periodic Boundary Conditions

Akbala Yernazar0000-0003-4900-6027
İrem Bağlan(kocaeli üniversitesi)0000-0002-1877-9791
Pages
1–7
Publication Date
2024-12-27
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

An iterative approach is used to establish convergence and to assess the existence, uniqueness and stability of the solution to the nonlinear problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study presents an analytical analysis of a one-dimensional inverse coefficient nonlinear hyperbolic equation with periodic boundary conditions.
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Key Findings & Data:The analytical solution is derived by applying Fourier method.
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Conclusion & Impact:An iterative approach is used to establish convergence and to assess the existence, uniqueness and stability of the solution to the nonlinear problem.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:The hiperbolic problem · Fourier iterative method · Nonlocal conditions.

Abstract

This study presents an analytical analysis of a one-dimensional inverse coefficient nonlinear hyperbolic equation with periodic boundary conditions. The analytical solution is derived by applying Fourier method. An iterative approach is used to establish convergence and to assess the existence, uniqueness and stability of the solution to the nonlinear problem.

Özet

Bu çalışma, periyodik sınır koşullarına sahip tek boyutlu ters katsayılı doğrusal olmayan hiperbolik denklemin analitik analizini sunar. Analitik çözüm, Fourier yöntemi uygulanarak türetilir. Yakınsamayı belirlemek ve doğrusal olmayan problemin çözümünün varlığını, benzersizliğini ve kararlılığını değerlendirmek için yinelemeli bir yaklaşım kullanılır.

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Cite This Article

Yernazar, A., Bağlan, İ. (2024). Fourier Analysis of Inverse Coefficient Nonlinear Hyperbolic Equations under Periodic Boundary Conditions. Natural and Applied Sciences Journal, Cilt: 7 Sayı: 2, 1–7. https://doi.org/10.38061/idunas.1590039

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References (9)

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