Numerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problem
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 present paper, the boundary value problem is considered of a controlled thermal process with an Fredholm integral operator in the case when the action of external heat flow occurs in the form of several moving point sources. In mathematical formalization, the generalized Dirac delta function was used. The procedure are briefly outlined for constructing a generalized solution of the boundary value problem and its approximations. It is shown that the presence of an integral operator determines the construction of two types of approximations and their convergence is proved. Sufficient conditions are found for convergence of approximations to a point solution. The main attention was paid to the influence of the parametric variation of the problem on the convergence rate of the approximations. The numerical calculations is given in tabular form.
Açıklama
Anahtar Kelimeler
Boundary value problem, Generalized solution, Approximation
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Kerimbekov, A., Ermekbaeva, A. ve Mombekova, G. (2019).Numerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problem. International Conference of Mathematical Sciences (ICMS 2019). s. 110.
