Generalised backward differentiation formulae for fractional differential equation

Jingjun Zhao; Teng Long; Yang Xu

doi:10.4208/eajam.150618.091018

Generalised backward differentiation formulae for fractional differential equation

Jingjun Zhao
, Teng Long
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

1 Scopus citations

Abstract

A new approach to construction of generalised backward differentiation formulae for fractional differential equations is proposed. The consistence and convergence of the method are considered and numerical simulations are presented.

Original language	English
Pages (from-to)	506-521
Number of pages	16
Journal	East Asian Journal on Applied Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.4208/eajam.150618.091018
State	Published - Aug 2019

Keywords

Boundary value method
Consistency
Convergence
Fractional differential equation
Fractional linear multistep method

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10.4208/eajam.150618.091018

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title = "Generalised backward differentiation formulae for fractional differential equation",

abstract = "A new approach to construction of generalised backward differentiation formulae for fractional differential equations is proposed. The consistence and convergence of the method are considered and numerical simulations are presented.",

keywords = "Boundary value method, Consistency, Convergence, Fractional differential equation, Fractional linear multistep method",

author = "Jingjun Zhao and Teng Long and Yang Xu",

note = "Publisher Copyright: {\textcopyright} 2019 Global-Science Press.",

year = "2019",

month = aug,

doi = "10.4208/eajam.150618.091018",

language = "英语",

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T1 - Generalised backward differentiation formulae for fractional differential equation

AU - Zhao, Jingjun

AU - Long, Teng

AU - Xu, Yang

PY - 2019/8

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N2 - A new approach to construction of generalised backward differentiation formulae for fractional differential equations is proposed. The consistence and convergence of the method are considered and numerical simulations are presented.

AB - A new approach to construction of generalised backward differentiation formulae for fractional differential equations is proposed. The consistence and convergence of the method are considered and numerical simulations are presented.

KW - Boundary value method

KW - Consistency

KW - Convergence

KW - Fractional differential equation

KW - Fractional linear multistep method

UR - https://www.scopus.com/pages/publications/85074308449

U2 - 10.4208/eajam.150618.091018

DO - 10.4208/eajam.150618.091018

M3 - 文章

AN - SCOPUS:85074308449

SN - 2079-7362

VL - 9

SP - 506

EP - 521

JO - East Asian Journal on Applied Mathematics

JF - East Asian Journal on Applied Mathematics

IS - 3

ER -

Generalised backward differentiation formulae for fractional differential equation

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Keywords

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