ACTIVE EXTRAPOLATION OF DIMSIMS IN NORDSIECK REPRESENTATION

Authors

  • Ali Jameel Kadhim Control and Computer Engineering Department, Faculty of Engineering, Almaaqal University, Basra, Iraq https://orcid.org/0009-0007-9403-8251
  • Annie Gorgey Mathematics Department, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjong Malim, 35900 Perak, Malaysia https://orcid.org/0000-0002-8435-5735
  • Noorhelyna Razali Department of Mechanical Engineering and Manufacturing, Universiti Kebangsaan Malaysia, Malaysia

DOI:

https://doi.org/10.11113/jurnalteknologi.v85.19511

Keywords:

iagonally implicit multistage integration methods, General linear methods, Active extrapolation

Abstract

Diagonally implicit multistage integration methods (DIMSIMs) are widely utilized in finding the solution to any problems in the subject of ordinary differential equations. These methods are selected from the general linear methods, which is considerable potential for efficient implementations. The extrapolation is derived from the stability of the explicit Runge-Kutta methods. In this paper, the combination of DIMSIMs with Richardson extrapolation of different orders shows that numerical solutions give higher accuracy when the extrapolation is applied with the base method.

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Published

2023-04-19

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Section

Science and Engineering

How to Cite

ACTIVE EXTRAPOLATION OF DIMSIMS IN NORDSIECK REPRESENTATION . (2023). Jurnal Teknologi (Sciences & Engineering), 85(3), 195-202. https://doi.org/10.11113/jurnalteknologi.v85.19511