Generalized Adams method for solving fractional delay differential equations

Jingjun Zhao, Xingzhou Jiang and Yang Xu

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 180, issue C, 401-419

Abstract: Based on fractional generalized Adams methods, a numerical method is constructed for solving fractional delay differential equations. The convergence of the method is analyzed in detail. The stability of the fractional generalized Adams methods for fractional ordinary differential equations is generalized to a general framework. Under such framework, the linear stability of the method is studied for fractional delay differential equations. Numerical experiments confirm the convergence and the stability of the method.

Keywords: Fractional delay differential equation; Generalized Adams method; Convergence; Stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:180:y:2021:i:c:p:401-419

DOI: 10.1016/j.matcom.2020.09.006

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