Cover Image

A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs

This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results...

Full description

Saved in:
Bibliographic Details
Main Authors: Alshareeda, Firas Adel Fawzi, Senu, Norazak, Ismail, Fudziah, Abdul Majid, Zanariah
Format: Article
Language:English
Published: Indian Society for Education and Environment 2016
Online Access:http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf
http://psasir.upm.edu.my/id/eprint/51861/
http://www.indjst.org/index.php/indjst/article/view/97774
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.51861
record_format eprints
spelling my.upm.eprints.518612017-05-02T08:05:55Z http://psasir.upm.edu.my/id/eprint/51861/ A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results for the new method were compared with the existing method, showing the potential of the new method over other existing methods. Indian Society for Education and Environment 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs. Indian Journal of Science and Technology, 9 (48). pp. 1-7. ISSN 0974-6846; ESSN: 0974-5645 http://www.indjst.org/index.php/indjst/article/view/97774
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results for the new method were compared with the existing method, showing the potential of the new method over other existing methods.
format Article
author Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
spellingShingle Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
author_facet Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
author_sort Alshareeda, Firas Adel Fawzi
title A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
title_short A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
title_full A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
title_fullStr A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
title_full_unstemmed A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
title_sort fourth algebraic order explicit trigonometrically- fitted modified runge-kutta method for the numerical solution of periodic ivps
publisher Indian Society for Education and Environment
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf
http://psasir.upm.edu.my/id/eprint/51861/
http://www.indjst.org/index.php/indjst/article/view/97774
_version_ 1643835078086754304
score 13.211869

Similar Items