Application of the Adams-Bashfort-Mowlton Method to the Numerical Study of Linear Fractional Oscillators Models
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Publication:6367733
DOI10.1063/5.0056846arXiv2105.07326MaRDI QIDQ6367733
Publication date: 15 May 2021
Abstract: The paper presents a numerical analysis of the class of mathematical models of linear fractional oscillators, which is the Cauchy problem for a differential equation with derivatives of fractional orders in the sense of Gerasimov-Caputo. A method based on an explicit nonlocal finite-difference scheme (ENFDS) and the Adams-Bashfort-Moulton (ABM) method is considered a numerical analysis tool. An analysis of the errors of the methods is carried out, and it is shown that the ABM method is more accurate and converges faster to an exact solution than the ENFDS method.
Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
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