Modified multistep method based on interpolation for solving ordinary differential problem

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

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

Abstract

This study is based on multistep method using interpolation formula. The coefficients of new formula are produced using modification on interpolation. This method is tested on ordinary differential equations. Comparisons are between the modified method and the classical Adams Bashforth and Adams-Moulton methods with equal step. Mathematica software is used to determine the new coefficients.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages146-150
Number of pages5
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

interpolation
coefficients
differential equations
computer programs

Keywords

  • Adams-bashforth
  • Adams-moulton method
  • Initial value problem
  • Interpolation formula
  • Multistep method
  • Variable step size

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ismail, A., Ahmad, R. . R., Din, U. K. S., & Hamid, M. R. A. (2014). Modified multistep method based on interpolation for solving ordinary differential problem. In AIP Conference Proceedings (Vol. 1602, pp. 146-150). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882480

Modified multistep method based on interpolation for solving ordinary differential problem. / Ismail, Azman; Ahmad, Rokiah @ Rozita; Din, Ummul Khair Salma; Hamid, Mohd Rosli A.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 146-150.

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

Ismail, A, Ahmad, RR, Din, UKS & Hamid, MRA 2014, Modified multistep method based on interpolation for solving ordinary differential problem. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 146-150, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882480
Ismail A, Ahmad RR, Din UKS, Hamid MRA. Modified multistep method based on interpolation for solving ordinary differential problem. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 146-150 https://doi.org/10.1063/1.4882480
Ismail, Azman ; Ahmad, Rokiah @ Rozita ; Din, Ummul Khair Salma ; Hamid, Mohd Rosli A. / Modified multistep method based on interpolation for solving ordinary differential problem. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 146-150
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