Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

Athena Makroglou

doi:10.1016/S0362-546X(96)00341-0

Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

Athena Makroglou

School of Mathematics & Physics

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

Abstract

The numerical solution of first order Volterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-corrector methods and collocation methods.

Original language	English
Pages (from-to)	1515-1525
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	30
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(96)00341-0
Publication status	Published - 1 Dec 1997
Event	2nd World Congress of Nonlinear Analysis (WCNA 96); - Athens, Greece Duration: 10 Jul 1996 → 17 Jul 1996

Access to Document

10.1016/S0362-546X(96)00341-0

Cite this

@article{b503dc2bce314986b4cef78e45d26de1,

title = "Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations",

abstract = "The numerical solution of first order Volterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-corrector methods and collocation methods.",

author = "Athena Makroglou",

year = "1997",

month = dec,

day = "1",

doi = "10.1016/S0362-546X(96)00341-0",

language = "English",

volume = "30",

pages = "1515--1525",

journal = "Nonlinear Analysis: Theory, Methods \& Applications",

publisher = "Elsevier Limited",

number = "3",

note = "2nd World Congress of Nonlinear Analysis (WCNA 96); , (WCNA 96) ; Conference date: 10-07-1996 Through 17-07-1996",

}

TY - JOUR

T1 - Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

AU - Makroglou, Athena

PY - 1997/12/1

Y1 - 1997/12/1

N2 - The numerical solution of first order Volterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-corrector methods and collocation methods.

AB - The numerical solution of first order Volterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-corrector methods and collocation methods.

U2 - 10.1016/S0362-546X(96)00341-0

DO - 10.1016/S0362-546X(96)00341-0

M3 - Article

VL - 30

SP - 1515

EP - 1525

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 3

T2 - 2nd World Congress of Nonlinear Analysis (WCNA 96);

Y2 - 10 July 1996 through 17 July 1996

ER -

Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

Abstract

Access to Document

Fingerprint

Cite this