4.6 Article

Generalized Adams method for solving fractional delay differential equations

Journal

MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 180, Issue -, Pages 401-419

Publisher

ELSEVIER
DOI: 10.1016/j.matcom.2020.09.006

Keywords

Fractional delay differential equation; Generalized Adams method; Convergence; Stability

Funding

  1. National Natural Science Foundation of China [11771112, 12071100, 11671112]

Ask authors/readers for more resources

This study presents a numerical method for solving fractional delay differential equations based on fractional generalized Adams methods. The convergence and stability of the method are analyzed in detail, with the linear stability of the method studied for fractional delay differential equations. Numerical experiments confirm the convergence and stability of the method, showcasing its effectiveness in solving such equations.
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. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available