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Numerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problem
(Maltepe Üniversitesi, 2019) Kerimbekov, Akylbek; Ermekbaeva, Aijana; Mombekova, Gulnaz
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.