Solution of Multi-Dimensional Non-linear Fractional Differential Equations of Higher Orders-Reference-Cited by-同舟云学术

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

Published:2023-10-27 Issue: Volume:18 Page:329-337
ISSN:2224-2856
Container-title:WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
language:en
Short-container-title:

Author:

Ismaeel Marwa Mohamed¹,Ahmood Wasan Ajeel²

Affiliation:

1. Department of Arabic Language, Al-Iraqia University, Faculty of Education for Women, Baghdad, IRAQ

2. Department of Al-Quran Science, Al-Iraqia University, Faculty of Education for Women, Baghdad, IRAQ

Abstract

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Artificial Intelligence,General Mathematics,Control and Systems Engineering

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