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Тематический рубрикатор : numerical solution ✕Ученые : Avıt ASANOV ✕
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Prof. Dr. Avıt ASANOVFen Fakültesi
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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra–Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.

Статья 2022 Fen Fakültesi Journal of Mathematical Sciences262 ( 2 ) 56 Просмотры
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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given. Keyword: System of linear Volterra-Stieltjes integral equations, second kind, generalized trapezoid rule, numerical solution

Статья 2022 Fen Fakültesi Український математичний вісник / Ukrainian Mathematical Bulletin19 ( 1 ) 20 Просмотры
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On numerical solution of the second-order linear Fredholm-Stieltjes integral equation

Avıt ASANOV

In this framework, the necessary and sufficient conditions for the existence and uniqueness of the second-order linear Fredholm-Stieltjes-integral equations, u(x) = lambda integral(b)(a) K(x, y) u(y) dg(y) + f(x), x is an element of[a, b], are thoroughly derived. Moreover, instead of approximating the integral equation by different numbers of partition n, the optimal number n for the given error tolerance is established. The system of equations is implemented in MAPLE for the Runge method. An efficient scheme is proposed for second-order integral equations. The solution has been compared with ...Более

Статья 2021 Fen Fakültesi AIP Advances11 ( 7 ) 64 Просмотры
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