Determination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary condition

Küçük Resim Yok

Tarih

2021

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

Künye