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

Yıl 2024, , 1 - 7, 27.12.2024

Akbala Yernazar , İrem Bağlan

https://doi.org/10.38061/idunas.1590039

Öz

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.

Anahtar Kelimeler

The hiperbolic problem, Fourier iterative method, Nonlocal conditions.

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

Öz

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.

Anahtar Kelimeler

The hiperbolic problem, Fourier iterative method, Nonlocal conditions.

Kaynakça

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