Trigonometrically-fitted second derivative method for oscillatory problems

ABSTRACT: A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product...

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Detalles Bibliográficos
Autores principales: Ngwane, Fidele Fouogang, Jator, Samuel Nemsefor
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102702/
https://www.ncbi.nlm.nih.gov/pubmed/25045607
http://dx.doi.org/10.1186/2193-1801-3-304
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author Ngwane, Fidele Fouogang
Jator, Samuel Nemsefor
author_facet Ngwane, Fidele Fouogang
Jator, Samuel Nemsefor
author_sort Ngwane, Fidele Fouogang
collection PubMed
description ABSTRACT: A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product and applied to solve initial value problems (IVPs) with oscillating solutions. We discuss the stability properties of the TSDM and present numerical experiments to demonstrate the efficiency of the method. AMS SUBJECT CLASSIFICATION: 65L05; 65L06
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spelling pubmed-41027022014-07-18 Trigonometrically-fitted second derivative method for oscillatory problems Ngwane, Fidele Fouogang Jator, Samuel Nemsefor Springerplus Research ABSTRACT: A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product and applied to solve initial value problems (IVPs) with oscillating solutions. We discuss the stability properties of the TSDM and present numerical experiments to demonstrate the efficiency of the method. AMS SUBJECT CLASSIFICATION: 65L05; 65L06 Springer International Publishing 2014-06-24 /pmc/articles/PMC4102702/ /pubmed/25045607 http://dx.doi.org/10.1186/2193-1801-3-304 Text en © Ngwane and Jator; 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/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Ngwane, Fidele Fouogang
Jator, Samuel Nemsefor
Trigonometrically-fitted second derivative method for oscillatory problems
title Trigonometrically-fitted second derivative method for oscillatory problems
title_full Trigonometrically-fitted second derivative method for oscillatory problems
title_fullStr Trigonometrically-fitted second derivative method for oscillatory problems
title_full_unstemmed Trigonometrically-fitted second derivative method for oscillatory problems
title_short Trigonometrically-fitted second derivative method for oscillatory problems
title_sort trigonometrically-fitted second derivative method for oscillatory problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102702/
https://www.ncbi.nlm.nih.gov/pubmed/25045607
http://dx.doi.org/10.1186/2193-1801-3-304
work_keys_str_mv AT ngwanefidelefouogang trigonometricallyfittedsecondderivativemethodforoscillatoryproblems
AT jatorsamuelnemsefor trigonometricallyfittedsecondderivativemethodforoscillatoryproblems

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