Numerical analysis of convergence rate of approximation solutions of a boundary value problem for oscillation processes
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In the paper [1] the boundary problem was investigated for the controlled processes described by integrodifferential equation of hyperbolic-type with Fredholm integral operator. A generalized solution and its approximations were constructed for the boundary value problem with boundary conditions of the second and third types. The convergence of approximations to the generalized solution was proved in the norm of Hilbert space. In the present paper, the dynamics of convergence rate is investigated of the approximations depending on the changes of the stiffness coefficient of the elastic fixation. The results of the numerical analysis show that with increasing of stiffness coefficient (parameter ?) of the elastic fixation the radius of convergence of Neumann series increases, and the convergence rate of the approximations to the exact solution accelerates.
Açıklama
Anahtar Kelimeler
Boundary value problem, Coefficient of stiffness, Convergence
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Abdyldaeva, E., Kabaeva, Z. ve Karabakirov, K. (2019). Numerical analysis of convergence rate of approximation solutions of a boundary value problem for oscillation processes. International Conference of Mathematical Sciences (ICMS 2019). s. 132.
