Generalized Adams method for solving fractional delay differential equations

Jingjun Zhao; Xingzhou Jiang; Yang Xu

doi:10.1016/j.matcom.2020.09.006

Generalized Adams method for solving fractional delay differential equations

Jingjun Zhao
, Xingzhou Jiang
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	401-419
Number of pages	19
Journal	Mathematics and Computers in Simulation
Volume	180
DOIs	https://doi.org/10.1016/j.matcom.2020.09.006
State	Published - Feb 2021
Externally published	Yes

Keywords

Convergence
Fractional delay differential equation
Generalized Adams method
Stability

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10.1016/j.matcom.2020.09.006

Cite this

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title = "Generalized Adams method for solving fractional delay differential equations",

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 = "Convergence, Fractional delay differential equation, Generalized Adams method, Stability",

author = "Jingjun Zhao and Xingzhou Jiang and Yang Xu",

note = "Publisher Copyright: {\textcopyright} 2020 International Association for Mathematics and Computers in Simulation (IMACS)",

year = "2021",

month = feb,

doi = "10.1016/j.matcom.2020.09.006",

language = "英语",

volume = "180",

pages = "401--419",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Generalized Adams method for solving fractional delay differential equations

AU - Zhao, Jingjun

AU - Jiang, Xingzhou

AU - Xu, Yang

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

KW - Convergence

KW - Fractional delay differential equation

KW - Generalized Adams method

KW - Stability

UR - https://www.scopus.com/pages/publications/85091214544

U2 - 10.1016/j.matcom.2020.09.006

DO - 10.1016/j.matcom.2020.09.006

M3 - 文章

AN - SCOPUS:85091214544

SN - 0378-4754

VL - 180

SP - 401

EP - 419

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

Generalized Adams method for solving fractional delay differential equations

Abstract

Keywords

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