A New Computation Approach: ARA Decomposition Method

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-04-26 DOI:10.37394/23206.2023.22.29

Ahmad Mohammad Qazza

引用次数: 1

Abstract

In this study, we present a novel combination between the ARA transformation and the decomposition method, termed the ARA decomposition approach. We present the method in a simple algorithm and use it to solve nonlinear integro-differential equations. To test the efficiency of the new approach, we solve some examples and calculate the absolute errors and sketch the approximate and exact solutions.

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一种新的计算方法：ARA分解法

在这项研究中，我们提出了一种ARA转换和分解方法之间的新组合，称为ARA分解方法。我们用一种简单的算法给出了该方法，并用它来求解非线性积分微分方程。为了验证新方法的有效性，通过算例计算了绝对误差，并给出了近似解和精确解。

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

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.