Data interpolation using Runge Kutta method

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 m...

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Main Authors: Karim, S.A.A., Ismail, M.T., Hasan, M.K., Sulaiman, J.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.21483 /
Published: American Institute of Physics Inc. 2018
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85049789080&doi=10.1063%2f1.5041644&partnerID=40&md5=4069e682295d354887d97edf5ebbe5a5
http://eprints.utp.edu.my/21483/
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spelling utp-eprints.214832018-09-25T06:31:38Z Data interpolation using Runge Kutta method Karim, S.A.A. Ismail, M.T. Hasan, M.K. Sulaiman, J. 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. © 2018 Author(s). American Institute of Physics Inc. 2018 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85049789080&doi=10.1063%2f1.5041644&partnerID=40&md5=4069e682295d354887d97edf5ebbe5a5 Karim, S.A.A. and Ismail, M.T. and Hasan, M.K. and Sulaiman, J. (2018) Data interpolation using Runge Kutta method. AIP Conference Proceedings, 1974 . http://eprints.utp.edu.my/21483/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description 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. © 2018 Author(s).
format Article
author Karim, S.A.A.
Ismail, M.T.
Hasan, M.K.
Sulaiman, J.
spellingShingle Karim, S.A.A.
Ismail, M.T.
Hasan, M.K.
Sulaiman, J.
Data interpolation using Runge Kutta method
author_sort Karim, S.A.A.
title Data interpolation using Runge Kutta method
title_short Data interpolation using Runge Kutta method
title_full Data interpolation using Runge Kutta method
title_fullStr Data interpolation using Runge Kutta method
title_full_unstemmed Data interpolation using Runge Kutta method
title_sort data interpolation using runge kutta method
publisher American Institute of Physics Inc.
publishDate 2018
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85049789080&doi=10.1063%2f1.5041644&partnerID=40&md5=4069e682295d354887d97edf5ebbe5a5
http://eprints.utp.edu.my/21483/
_version_ 1741196467153928192
score 11.62408

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