Comparison of one-step and two-step symmetrization in the variable stepsize setting

In this paper, we study the effects of symmetrization by the implicit midpoint rule (IMR) and the implicit trapezoidal rule (ITR) on the numerical solution of ordinary differential equations. We extend the study of the well-known formula of Gragg to a two-step symmetrizer and compare the efficiency...

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Main Authors:	N. Razali, Zulkifli Mohd Nopiah, H. Othman
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2018
Online Access:	http://journalarticle.ukm.my/12675/ http://journalarticle.ukm.my/12675/ http://journalarticle.ukm.my/12675/1/36%20N.%20Razali.pdf

id	ukm-12675
recordtype	eprints
spelling	ukm-126752019-03-17T11:48:18Z http://journalarticle.ukm.my/12675/ Comparison of one-step and two-step symmetrization in the variable stepsize setting N. Razali, Zulkifli Mohd Nopiah, H. Othman, In this paper, we study the effects of symmetrization by the implicit midpoint rule (IMR) and the implicit trapezoidal rule (ITR) on the numerical solution of ordinary differential equations. We extend the study of the well-known formula of Gragg to a two-step symmetrizer and compare the efficiency of their use with the IMR and ITR. We present the experimental results on nonlinear problem using variable stepsize setting and the results show greater efficiency of the two-step symmetrizers over the one-step symmetrizers of IMR and ITR. Penerbit Universiti Kebangsaan Malaysia 2018-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12675/1/36%20N.%20Razali.pdf N. Razali, and Zulkifli Mohd Nopiah, and H. Othman, (2018) Comparison of one-step and two-step symmetrization in the variable stepsize setting. Sains Malaysiana, 47 (11). pp. 2927-2932. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid47bil11_2018/KandunganJilid47Bil11_2018.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	In this paper, we study the effects of symmetrization by the implicit midpoint rule (IMR) and the implicit trapezoidal rule (ITR) on the numerical solution of ordinary differential equations. We extend the study of the well-known formula of Gragg to a two-step symmetrizer and compare the efficiency of their use with the IMR and ITR. We present the experimental results on nonlinear problem using variable stepsize setting and the results show greater efficiency of the two-step symmetrizers over the one-step symmetrizers of IMR and ITR.
format	Article
author	N. Razali, Zulkifli Mohd Nopiah, H. Othman,
spellingShingle	N. Razali, Zulkifli Mohd Nopiah, H. Othman, Comparison of one-step and two-step symmetrization in the variable stepsize setting
author_facet	N. Razali, Zulkifli Mohd Nopiah, H. Othman,
author_sort	N. Razali,
title	Comparison of one-step and two-step symmetrization in the variable stepsize setting
title_short	Comparison of one-step and two-step symmetrization in the variable stepsize setting
title_full	Comparison of one-step and two-step symmetrization in the variable stepsize setting
title_fullStr	Comparison of one-step and two-step symmetrization in the variable stepsize setting
title_full_unstemmed	Comparison of one-step and two-step symmetrization in the variable stepsize setting
title_sort	comparison of one-step and two-step symmetrization in the variable stepsize setting
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2018
url	http://journalarticle.ukm.my/12675/ http://journalarticle.ukm.my/12675/ http://journalarticle.ukm.my/12675/1/36%20N.%20Razali.pdf
first_indexed	2023-09-18T20:03:08Z
last_indexed	2023-09-18T20:03:08Z
_version_	1777406982327631872

Comparison of one-step and two-step symmetrization in the variable stepsize setting

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