Modified third order 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 third order 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. Mathematica software is used to determine the new coefficients. The methods was found to be efficient when tested on ordinary differential equation.

Original languageEnglish
Title of host publication2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium
EditorsZahari Ibrahim, Haja Maideen Kader Maideen, Nazlina Ibrahim, Nurul Huda Abd Karim, Taufik Yusof, Fatimah Abdul Razak, Nurulkamal Maseran, Rozida Mohd Khalid, Noor Baa'yah Ibrahim, Hasidah Mohd. Sidek, Mohd Salmi Md Noorani, Norbert Simon
PublisherAmerican Institute of Physics Inc.
Pages875-879
Number of pages5
ISBN (Electronic)9780735412507
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014 - Selangor, Malaysia
Duration: 9 Apr 201411 Apr 2014

Publication series

NameAIP Conference Proceedings
Volume1614
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014
CountryMalaysia
CitySelangor
Period9/4/1411/4/14

Fingerprint

interpolation
differential equations
coefficients
computer programs

Keywords

  • Adams-bashforth
  • 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 third order multistep method based on interpolation for solving ordinary differential problem. In Z. Ibrahim, H. M. K. Maideen, N. Ibrahim, N. H. A. Karim, T. Yusof, F. A. Razak, N. Maseran, R. M. Khalid, N. B. Ibrahim, H. M. Sidek, M. S. M. Noorani, ... N. Simon (Eds.), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium (pp. 875-879). (AIP Conference Proceedings; Vol. 1614). American Institute of Physics Inc.. https://doi.org/10.1063/1.4895317

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

2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. ed. / Zahari Ibrahim; Haja Maideen Kader Maideen; Nazlina Ibrahim; Nurul Huda Abd Karim; Taufik Yusof; Fatimah Abdul Razak; Nurulkamal Maseran; Rozida Mohd Khalid; Noor Baa'yah Ibrahim; Hasidah Mohd. Sidek; Mohd Salmi Md Noorani; Norbert Simon. American Institute of Physics Inc., 2014. p. 875-879 (AIP Conference Proceedings; Vol. 1614).

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

Ismail, A, Ahmad, RR, Din, UKS & Hamid, MRA 2014, Modified third order multistep method based on interpolation for solving ordinary differential problem. in Z Ibrahim, HMK Maideen, N Ibrahim, NHA Karim, T Yusof, FA Razak, N Maseran, RM Khalid, NB Ibrahim, HM Sidek, MSM Noorani & N Simon (eds), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. AIP Conference Proceedings, vol. 1614, American Institute of Physics Inc., pp. 875-879, 2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014, Selangor, Malaysia, 9/4/14. https://doi.org/10.1063/1.4895317
Ismail A, Ahmad RR, Din UKS, Hamid MRA. Modified third order multistep method based on interpolation for solving ordinary differential problem. In Ibrahim Z, Maideen HMK, Ibrahim N, Karim NHA, Yusof T, Razak FA, Maseran N, Khalid RM, Ibrahim NB, Sidek HM, Noorani MSM, Simon N, editors, 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. American Institute of Physics Inc. 2014. p. 875-879. (AIP Conference Proceedings). https://doi.org/10.1063/1.4895317
Ismail, Azman ; Ahmad, Rokiah @ Rozita ; Din, Ummul Khair Salma ; Hamid, Mohd Rosli A. / Modified third order multistep method based on interpolation for solving ordinary differential problem. 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. editor / Zahari Ibrahim ; Haja Maideen Kader Maideen ; Nazlina Ibrahim ; Nurul Huda Abd Karim ; Taufik Yusof ; Fatimah Abdul Razak ; Nurulkamal Maseran ; Rozida Mohd Khalid ; Noor Baa'yah Ibrahim ; Hasidah Mohd. Sidek ; Mohd Salmi Md Noorani ; Norbert Simon. American Institute of Physics Inc., 2014. pp. 875-879 (AIP Conference Proceedings).
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