Perbandingan satu dan dua langkah pensimetrian dalam persekitaran saiz langkah berubah-ubah

Translated title of the contribution: Comparison of one-step and two-step symmetrization in the variable stepsize setting

Research output: Contribution to journalArticle

Abstract

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.

Original languageMalay
Pages (from-to)2927-2932
Number of pages6
JournalSains Malaysiana
Volume47
Issue number11
DOIs
Publication statusPublished - 1 Nov 2018

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Variable Step Size
Symmetrization
Midpoint rule
Trapezoidal Rule
Nonlinear Problem
Ordinary differential equation
Numerical Solution
Experimental Results

ASJC Scopus subject areas

  • General

Cite this

Perbandingan satu dan dua langkah pensimetrian dalam persekitaran saiz langkah berubah-ubah. / Razali, Noorhelyna; Mohd Nopiah, Zulkifli; Othman, H.

In: Sains Malaysiana, Vol. 47, No. 11, 01.11.2018, p. 2927-2932.

Research output: Contribution to journalArticle

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