Modified predictor-corrector multistep method using arithmetic mean for solving ordinary differential equations

Mohd Rosli A Hamid, Rokiah @ Rozita Ahmad, Ummul Khair Salma Din, Azman Ismail

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this research, two modified predictor-corrector methods using arithmetic mean are constructed to solve ordinary differential equations (ODE). The third order predictor-corrector methods, namely, Adams-Bashforth and Adams-Moulton have been chosen and the modification has successfully produced two new methods. These two third order methods are used to solve ODE problems. Simulation output from both methods are compared with the original methods and third order Runge-Kutta method. Numerical results are presented to illustrate the accuracy and efficiency of the modified methods.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages703-707
Number of pages5
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

predictor-corrector methods
differential equations
Runge-Kutta method
output
simulation

Keywords

  • Adams-Bashforth
  • Adams-Moulton
  • Explicit method
  • Implicit method
  • Initial value problem
  • Semi implicit method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Modified predictor-corrector multistep method using arithmetic mean for solving ordinary differential equations. / Hamid, Mohd Rosli A; Ahmad, Rokiah @ Rozita; Din, Ummul Khair Salma; Ismail, Azman.

AIP Conference Proceedings. Vol. 1522 2013. p. 703-707.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hamid, MRA, Ahmad, RR, Din, UKS & Ismail, A 2013, Modified predictor-corrector multistep method using arithmetic mean for solving ordinary differential equations. in AIP Conference Proceedings. vol. 1522, pp. 703-707, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801194
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AB - In this research, two modified predictor-corrector methods using arithmetic mean are constructed to solve ordinary differential equations (ODE). The third order predictor-corrector methods, namely, Adams-Bashforth and Adams-Moulton have been chosen and the modification has successfully produced two new methods. These two third order methods are used to solve ODE problems. Simulation output from both methods are compared with the original methods and third order Runge-Kutta method. Numerical results are presented to illustrate the accuracy and efficiency of the modified methods.

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