Solving Fredholm integro-differential equations involving integral condition: A new numerical method

被引：1

作者：

Kadirbayeva, Zhazira ^{[1
,2
]}

Bakirova, Elmira ^{[1
,3
]}

Tleulessova, Agila ^{[4
]}

机构：

[1] Inst Math & Math Modeling, Dept Differential Equat, Alma Ata, Kazakhstan

[2] Int Informat Technol Univ, Dept Math & Comp Modeling, Alma Ata, Kazakhstan

[3] Kazakh Natl Womens Teacher Training Univ, Dept Math, Alma Ata, Kazakhstan

[4] LN Gumilyov Eurasian Natl Univ, Dept Fundamental Math, Astana, Kazakhstan

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 02期

关键词：

Fredholm integro-differential equation; integral condition; parametrization method; algorithm; numerical solution; BOUNDARY-VALUE PROBLEM; SOLVABILITY; SYSTEMS;

D O I：

10.1515/ms-2024-0031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we investigate a nonlocal problem for the Fredholm integro-differential equation involving integral condition. The main tool used in our considerations is Dzhumabaev parametrization method. We make use of the numerical implementation of the Dzhumabaev parametrization method to obtain the desired result, which is well-supported with numerical examples.

引用

页码：403 / 416

页数：14

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