Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem

ABSTRACT: A Seventh-Order Linear Multistep Method (SOLMM) is developed and implemented in both predictor-corrector mode and block mode. The two approaches are compared by measuring their total number of function evaluations and CPU times. The stability property of the method is examined. This SOLMM...

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Detalles Bibliográficos
Autores principales: Jator, Samuel N, Lee, Leong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4155055/
https://www.ncbi.nlm.nih.gov/pubmed/25197617
http://dx.doi.org/10.1186/2193-1801-3-447
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author Jator, Samuel N
Lee, Leong
author_facet Jator, Samuel N
Lee, Leong
author_sort Jator, Samuel N
collection PubMed
description ABSTRACT: A Seventh-Order Linear Multistep Method (SOLMM) is developed and implemented in both predictor-corrector mode and block mode. The two approaches are compared by measuring their total number of function evaluations and CPU times. The stability property of the method is examined. This SOLMM is also compared with existing methods in the literature using standard numerical examples. AMS SUBJECT CLASSIFICATION: 65L05; 65L06
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spelling pubmed-41550552014-09-05 Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem Jator, Samuel N Lee, Leong Springerplus Research ABSTRACT: A Seventh-Order Linear Multistep Method (SOLMM) is developed and implemented in both predictor-corrector mode and block mode. The two approaches are compared by measuring their total number of function evaluations and CPU times. The stability property of the method is examined. This SOLMM is also compared with existing methods in the literature using standard numerical examples. AMS SUBJECT CLASSIFICATION: 65L05; 65L06 Springer International Publishing 2014-08-20 /pmc/articles/PMC4155055/ /pubmed/25197617 http://dx.doi.org/10.1186/2193-1801-3-447 Text en © Jator and Lee; licensee Springer. 2014 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Jator, Samuel N
Lee, Leong
Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title_full Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title_fullStr Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title_full_unstemmed Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title_short Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
title_sort implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4155055/
https://www.ncbi.nlm.nih.gov/pubmed/25197617
http://dx.doi.org/10.1186/2193-1801-3-447
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