Modified second derivative multistep method based on finite difference for solving ordinary differential equation

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

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

1 Citation (Scopus)

Abstract

In this research, an modifiedsecond derivative multistep methods are constructed to solve ordinary differential equations (ODE). The idea of modification is based on central finite difference in order to get a new coefficient of the method. Numerical results are presented to illustrate the accuracy and efficiency of the modified method.

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.
Pages840-843
Number of pages4
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

differential equations
coefficients

Keywords

  • Implicit
  • Multistep and multi-derivative method
  • Ode

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mohd, M. R., Ahmad, R. . R., Din, U. K. S., & Ismail, A. (2014). Modified second derivative multistep method based on finite difference for solving ordinary differential equation. 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. 840-843). (AIP Conference Proceedings; Vol. 1614). American Institute of Physics Inc.. https://doi.org/10.1063/1.4895311

Modified second derivative multistep method based on finite difference for solving ordinary differential equation. / Mohd, Mohd Rosli; Ahmad, Rokiah @ Rozita; Din, Ummul Khair Salma; Ismail, Azman.

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. 840-843 (AIP Conference Proceedings; Vol. 1614).

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

Mohd, MR, Ahmad, RR, Din, UKS & Ismail, A 2014, Modified second derivative multistep method based on finite difference for solving ordinary differential equation. 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. 840-843, 2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014, Selangor, Malaysia, 9/4/14. https://doi.org/10.1063/1.4895311
Mohd MR, Ahmad RR, Din UKS, Ismail A. Modified second derivative multistep method based on finite difference for solving ordinary differential equation. 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. 840-843. (AIP Conference Proceedings). https://doi.org/10.1063/1.4895311
Mohd, Mohd Rosli ; Ahmad, Rokiah @ Rozita ; Din, Ummul Khair Salma ; Ismail, Azman. / Modified second derivative multistep method based on finite difference for solving ordinary differential equation. 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. 840-843 (AIP Conference Proceedings).
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