WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 18, 2023
Solution of Multi-Dimensional Non-linear Fractional Differential Equations of Higher Orders
Authors: ,
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.
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Keywords: Non-linear fractional differential equation, higher order, adomian decomposition method (ADM), and proposed numerical method
Pages: 329-337
DOI: 10.37394/23203.2023.18.33