Exponentially Fitted and Trigonometrically Fitted Explicit Modified Runge-Kutta Type Methods for Solving y′′′x=fx,y,y′
Joint Authors
Senu, Norazak
Ghawadri, N.
Ismail, Fudzliah
Ibrahim, Z. B.
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-04
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type (MRKT) methods for solving y′′′x=fx,y,y′ are derived in this paper.
These methods are constructed which exactly integrate initial value problems whose solutions are linear combinations of the set functions eωx and e-ωx for exponentially fitted and sinωx and cosωx for trigonometrically fitted with ω∈R being the principal frequency of the problem and the frequency will be used to raise the accuracy of the methods.
The new four-stage fifth-order exponentially fitted and trigonometrically fitted explicit MRKT methods are called EFMRKT5 and TFMRKT5, respectively, for solving initial value problems whose solutions involve exponential or trigonometric functions.
The numerical results indicate that the new exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods are more efficient than existing methods in the literature.
American Psychological Association (APA)
Ghawadri, N.& Senu, Norazak& Ismail, Fudzliah& Ibrahim, Z. B.. 2018. Exponentially Fitted and Trigonometrically Fitted Explicit Modified Runge-Kutta Type Methods for Solving y′′′x=fx,y,y′. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1176007
Modern Language Association (MLA)
Ghawadri, N.…[et al.]. Exponentially Fitted and Trigonometrically Fitted Explicit Modified Runge-Kutta Type Methods for Solving y′′′x=fx,y,y′. Journal of Applied Mathematics No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1176007
American Medical Association (AMA)
Ghawadri, N.& Senu, Norazak& Ismail, Fudzliah& Ibrahim, Z. B.. Exponentially Fitted and Trigonometrically Fitted Explicit Modified Runge-Kutta Type Methods for Solving y′′′x=fx,y,y′. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1176007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176007