Goldmann, M.(1988)Vectorization of the multiple shooting method for the nonlinear boundary value problem in ordinary differential equations,Parallel Computing 7,97-110.

Google Scholar

[9]

Khalaf, B.M.S. & Hutchinson, D.(1992)Paraitel algorithms for initial value problems: parallel shooting,Parallel Computing 18,661-673.

Google Scholar

[10]

Linz,P.(1969)Linear muir!step methods for Voherra integro-differentiat equations, Journal of the Assoc. for Comp. Mach., vol. 16,no.2,295-301.

Digital Library

Google Scholar

[11]

London,S.O.(1969)On a nonlinear Volterra integrodifferential equation, Conun. Phys. Math. 38,5-11.

Google Scholar

[12]

Miller,R.K.(1966)On Volterra's population equation,SIAM J. Appl. Math. 14,446-452.

Google Scholar

[13]

Shaw, R.E.(1985)Numerical Solutions and Simole Roots thesis,UNB.

Google Scholar

[14]

$haw,R.E.(1996)Vectorizing multistep methods for Volterra integro-differential equations, Inter. J. High Speed Computing, vol.8,no.2,137-144.

Crossref

Google Scholar

[15]

Shaw, R.E. &Garey, L.E.(1993)Vector processing an iterative method for nonlinear second order Volterra integro-differential equations with two point boundary conditions,Congress Numerantium, vol.92,129-135.

Google Scholar

[16]

Sommeijer, B.P., Couzy, W. & van der Houwen, and inregro-differential equations, Appl. Numer. M ath,vol.9,267-281.

Digital Library

Google Scholar

[17]

Tam, H. & Skeel, R.D.(1993)Stability of parallel explicit ODE methods, SIAM J. Numer. AnaL, vol.30,no.4,1179-1192.

Digital Library

Google Scholar

[18]

van der Houwen, P.J .& Sommeijer, B.P. (199 l)Iterated Runge-Kutta methods on parallel computers, SIAM J. Sci. Statist. Comput. 12,1991, 1000- t 028.

Digital Library

Google Scholar

[19]

van der Houwen, P.J., Sommeijer, B.P. & de Swart, J. J. B. (1994)Parallelpredictor-corrector methods, CW! Report,Dept. of Numer. Math., Report NM-R9408.

Google Scholar

[20]

van der Houwen, P.J., Sommeijer, B.P. & van der Veen, W.A.(! 993)Parallel iteration across the steps of high order Runge.Kutta methods for nonstiff initial value problems,CWI Rpt, Dept. N umer. M ath.,Rpt N M-R9313.

Google Scholar

[21]

Vecchio,A.(1993)Highly stable parallel Volterra Runge-Kutta methods,Istituto per Applicazioni Della Matematica, Consiglio Nazionale Delle Ricerche,via P. Castellino, II 1,80131 Napoli,ltaly,Rapp. Tecnico n. t 02.

Google Scholar

Cited By

View all

Ishak FSuleiman M(2012)Parallel method using MPI for solving large systems of delay differential equations2012 IEEE Colloquium on Humanities, Science and Engineering (CHUSER)10.1109/CHUSER.2012.6504320(255-259)Online publication date: Dec-2012
https://doi.org/10.1109/CHUSER.2012.6504320

Index Terms

A parallel algorithm for nonlinear Volterra integro-differential equations

Recommendations

New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations

The aim of this paper is to present an efficient numerical procedure for solving the two-dimensional nonlinear Volterra integro-differential equations (2-DNVIDE) by two-dimensional differential transform method (2-DDTM). The technique that we used is ...
Numerical solution of nonlinear Volterra-Fredholm integro-differential equations

The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms ...
Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations

In this paper, a Taylor method is developed to find an approximate solution for high-order nonlinear Volterra-Fredholm integro-differential equation. Numerical examples presented to illustrate the accuracy of the method.

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

SAC '00: Proceedings of the 2000 ACM symposium on Applied computing - Volume 1

March 2000

536 pages

ISBN:1581132409

DOI:10.1145/335603

Chairman:
Barrett Bryant
Univ. of Alabama—Birmingham, Birmingham
,
Editors:
Janice Carroll
Rogers State Univ.
,
Ernesto Damiani
Univ. di Milano, Crema, Italy
,
Hisham Haddad
Marshall Univ., Huntington, WV
,
Dave Oppenheim

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 19 March 2000

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tag

Volterra integro-differential equation parallel algorithm

Qualifiers

Article

Conference

SAC00

Sponsor:

SIGAPP

SAC00: 2000 Symposium on Applied Computing

Como, Italy

Acceptance Rates

Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

1
Total Citations
View Citations
466
Total Downloads

Downloads (Last 12 months)18
Downloads (Last 6 weeks)3

Reflects downloads up to 21 Nov 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Ishak FSuleiman M(2012)Parallel method using MPI for solving large systems of delay differential equations2012 IEEE Colloquium on Humanities, Science and Engineering (CHUSER)10.1109/CHUSER.2012.6504320(255-259)Online publication date: Dec-2012
https://doi.org/10.1109/CHUSER.2012.6504320

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Cited By

Index Terms

Recommendations

New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations

Numerical solution of nonlinear Volterra-Fredholm integro-differential equations

Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations