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

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-05-28 DOI:10.1515/ms-2024-0031

Zhazira Kadirbayeva, Elmira Bakirova, Agila Tleulessova

引用次数: 0

Abstract

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.

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求解涉及积分条件的弗雷德霍尔积分微分方程：一种新的数值方法

在这项工作中，我们研究了涉及积分条件的弗雷德霍尔姆积分微分方程的非局部问题。我们考虑的主要工具是朱马巴耶夫参数化方法。我们利用 Dzhumabaev 参数化方法的数值实现来获得所需的结果，并通过数值示例对其进行了很好的支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.