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

• 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

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...