The Wave Problem under Periodic Boundary Conditions

Öz

In this article, the inverse linear hyperbolic problem is discussed. The difference of the problem is that it is solved with the Fourier approach. The solution was found by Fourier and the approximation method.

Anahtar Kelimeler

• the wave equations
• Fourier iterative method
• nonlokal boundary condition

Devirli Sınır Koşullu Dalga Denklemi

Öz

Bu makalede, ters doğrusal hiperbolik problem ele alınmaktadır. Problemin farkı, Fourier yaklaşımıyla çözülmesidir. Çözüm, Fourier yaklaşımı ve yaklaşıklık yöntemi kullanılarak bulunmuştur.

Anahtar Kelimeler

• Dalga denklemi
• fourier metodu
• lokal olmayan sınır koşulu

Kaynakça

1. 1. Denisov A. M., (2018). Integral-functional equation arising in the study of an inverse problem for a quasilinear hyperbolic equation, 54 (9), 1180-1190.
2. 2. Tekin I., (2019). Determination of a Time-Dependent Coe_cient in a Wave Equation with Unusual Boundary Condition, Filomat , 33(9), 2653-2665.
3. 3. Tekin I., (2018). Existence and uniqueness of an inverse problem for a second order hyperbolic equation, UniversalJournal of Mathematics and Applications, 1 (3), 178-185.
4. 4. L.S. Pulkina, (2010).A Nonlocal Problem for a Hyperbolic Equation with Integral Conditions of the 1st Kind with Time-Dependent Kernels, Russian Mathematics (Iz. VUZ), 56(10), 26-37.
5. 5. Ionkin, N.I. (1977). Solution of a boundary value problem in heat conduction with a nonclassical boundary condition, Differential Equations, 13, 204-211.
6. 6. Hill G.W. , (1886). On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Mathematica , 8,1-36.