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Факультет / Институт : Fen Fakültesi ✕Тематический рубрикатор : numerical solution ✕
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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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The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument

Ercan ÇELİK

In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible. Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems

Статья 2023 Fen Fakültesi Journal of Applied Mathematics2023 71 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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