高阶多维非线性分数阶微分方程的解

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-10-27 DOI:10.37394/23203.2023.18.33

Marwa Mohamed Ismaeel, Wasan Ajeel Ahmood

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引用次数: 0

摘要

本文用两种方法从高阶解非线性微分方程:一是用域分解法估计最大值。Abso。Trunc。对误差域级数和二阶拟合数值(PNM)两类方程进行了研究。当我们使用这些方法时，将提供一个排他解，而忽略了该方法应用于这些类型方程的近似分析，并将已知的解ADOMIANS系列的最大误差分类。文中给出了一个数字算例，阐明了所提供的影响方法，文中这些方程的重要后续是Bagley-Torvik方程。

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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Solution of Multi-Dimensional Non-linear Fractional Differential Equations of Higher Orders

In our paper, we are used here two methods to solve non-linear differential equations from a higher order: the first-one is domain decomposition method is used to estimate the Maxi. Abso. Trunc. Error of Adomain series and the second-one proposed numerical (PNM), these types of equations are studied. When we use these methods, an exclusive solution will be provided, and the approximate analyses of this method applied to these types of equations will be overlooked, and the maximum error that has been informed to solve the ADOMIANS series will be classified. A digital example is prepared clarify the impact method provided and significant following of these equations in our paper is Bagley-Torvik equation.

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. 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 systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.