Determination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary condition
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The non-linear hyperbolic equation is used to model many non-linear phenomena. In this paper, we consider an initial boundary value problem for non-linear hyperbolic equation. We determine a time-dependent coefficient multiplying non-linear term by using an additional condition, and prove the existence and uniqueness theorem for small times. We also propose a numerical scheme to solve the inverse problem for non-linear hyperbolic equation, and give test examples for sine, quadratic and cubic non-linearity.
Açıklama
Anahtar Kelimeler
Existence and uniqueness, Finite difference method, Fourier method, Inverse coefficient problem, Non-linear hyperbolic equation
Kaynak
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
41
Sayı
1
