Data interpolation using Runge Kutta method

Samsul Ariffin Abdul Karim, Mohd Tahir Ismail, Mohammad Khatim Hasan, Jumat Sulaiman

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

Abstract

Runge Kutta (RK) is a famous method that can be used to solve differential equation with initial value problems (IVP). There are many variants for RK method. For instance, the most widely used are RK4 and RK5 where 4 and 5 stands for the order of the RK methods. Data interpolation are important in many engineering applications. Usually for data interpolation, the interpolant must interpolate the data set and the first derivatives. This study discusses the application of RK4 for data interpolation by interpolating the data through cubic spline interpolation i.e. RK4-CS method. Several numerical findings will be presented including comparison with some established schemes such as cubic spline. From our findings, RK4 is suitable for data interpolation with higher degree of accuracy.

Original languageEnglish
Title of host publicationProceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017
Subtitle of host publicationMathematical Sciences as the Core of Intellectual Excellence
PublisherAmerican Institute of Physics Inc.
Volume1974
ISBN (Electronic)9780735416819
DOIs
Publication statusPublished - 28 Jun 2018
Event25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017 - Kuantan, Pahang, Malaysia
Duration: 27 Aug 201729 Aug 2017

Other

Other25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017
CountryMalaysia
CityKuantan, Pahang
Period27/8/1729/8/17

Fingerprint

Runge-Kutta method
interpolation
splines
boundary value problems
differential equations
engineering

Keywords

  • cubic spline
  • Differential equations
  • interpolation
  • RK4

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Karim, S. A. A., Ismail, M. T., Hasan, M. K., & Sulaiman, J. (2018). Data interpolation using Runge Kutta method. In Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence (Vol. 1974). [020113] American Institute of Physics Inc.. https://doi.org/10.1063/1.5041644

Data interpolation using Runge Kutta method. / Karim, Samsul Ariffin Abdul; Ismail, Mohd Tahir; Hasan, Mohammad Khatim; Sulaiman, Jumat.

Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974 American Institute of Physics Inc., 2018. 020113.

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

Karim, SAA, Ismail, MT, Hasan, MK & Sulaiman, J 2018, Data interpolation using Runge Kutta method. in Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. vol. 1974, 020113, American Institute of Physics Inc., 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017, Kuantan, Pahang, Malaysia, 27/8/17. https://doi.org/10.1063/1.5041644
Karim SAA, Ismail MT, Hasan MK, Sulaiman J. Data interpolation using Runge Kutta method. In Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974. American Institute of Physics Inc. 2018. 020113 https://doi.org/10.1063/1.5041644
Karim, Samsul Ariffin Abdul ; Ismail, Mohd Tahir ; Hasan, Mohammad Khatim ; Sulaiman, Jumat. / Data interpolation using Runge Kutta method. Proceeding of the 25th National Symposium on Mathematical Sciences, SKSM 2017: Mathematical Sciences as the Core of Intellectual Excellence. Vol. 1974 American Institute of Physics Inc., 2018.
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