Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

Jingjun Zhao; Yang Cao; Yang Xu

doi:10.1007/s10915-015-0121-5

Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

Jingjun Zhao
, Yang Cao
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

28 Scopus citations

Abstract

This work is to analyze a Legendre spectral collocation approximation for Volterra delay-integro-differential equations. An error analysis is provided for the proposed methods. Moreover, it is proved that the errors of approximate solutions decay exponentially. The numerical results verify our theoretical analysis.

Original language	English
Pages (from-to)	1110-1133
Number of pages	24
Journal	Journal of Scientific Computing
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/s10915-015-0121-5
State	Published - 1 Jun 2016

Keywords

Convergence
Legendre collocation methods
Volterra-delay-integro-differential equations

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10.1007/s10915-015-0121-5

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title = "Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations",

abstract = "This work is to analyze a Legendre spectral collocation approximation for Volterra delay-integro-differential equations. An error analysis is provided for the proposed methods. Moreover, it is proved that the errors of approximate solutions decay exponentially. The numerical results verify our theoretical analysis.",

keywords = "Convergence, Legendre collocation methods, Volterra-delay-integro-differential equations",

author = "Jingjun Zhao and Yang Cao and Yang Xu",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media New York.",

year = "2016",

month = jun,

day = "1",

doi = "10.1007/s10915-015-0121-5",

language = "英语",

volume = "67",

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journal = "Journal of Scientific Computing",

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T1 - Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

AU - Zhao, Jingjun

AU - Cao, Yang

AU - Xu, Yang

PY - 2016/6/1

Y1 - 2016/6/1

N2 - This work is to analyze a Legendre spectral collocation approximation for Volterra delay-integro-differential equations. An error analysis is provided for the proposed methods. Moreover, it is proved that the errors of approximate solutions decay exponentially. The numerical results verify our theoretical analysis.

AB - This work is to analyze a Legendre spectral collocation approximation for Volterra delay-integro-differential equations. An error analysis is provided for the proposed methods. Moreover, it is proved that the errors of approximate solutions decay exponentially. The numerical results verify our theoretical analysis.

KW - Convergence

KW - Legendre collocation methods

KW - Volterra-delay-integro-differential equations

UR - https://www.scopus.com/pages/publications/84944705601

U2 - 10.1007/s10915-015-0121-5

DO - 10.1007/s10915-015-0121-5

M3 - 文章

AN - SCOPUS:84944705601

SN - 0885-7474

VL - 67

SP - 1110

EP - 1133

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 3

ER -

Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

Abstract

Keywords

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