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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/12675/1/36%20N.%20Razali.pdf
http://journalarticle.ukm.my/12675/
http://www.ukm.my/jsm/malay_journals/jilid47bil11_2018/KandunganJilid47Bil11_2018.html
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spelling my-ukm.journal.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
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/12675/1/36%20N.%20Razali.pdf
http://journalarticle.ukm.my/12675/
http://www.ukm.my/jsm/malay_journals/jilid47bil11_2018/KandunganJilid47Bil11_2018.html
_version_ 1643738856729608192
score 13.149126

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