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Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems

A new Two Derivative Runge-Kutta method (TDRK) based on First Same as Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is anal...

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Main Authors: Ahmad, Nur Amirah, Senu, Norazak
格式: Article
語言:English
出版: Indian Society for Education and Environment 2016
在線閱讀:http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/51862/
http://www.indjst.org/index.php/indjst/article/view/97748
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id my.upm.eprints.51862
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spelling my.upm.eprints.518622017-05-02T08:05:57Z http://psasir.upm.edu.my/id/eprint/51862/ Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems Ahmad, Nur Amirah Senu, Norazak A new Two Derivative Runge-Kutta method (TDRK) based on First Same as Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK). Indian Society for Education and Environment 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf Ahmad, Nur Amirah and Senu, Norazak (2016) Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems. Indian Journal of Science and Technology, 9 (28). pp. 1-8. ISSN 0974-6846; ESSN: 0974-5645 http://www.indjst.org/index.php/indjst/article/view/97748
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 A new Two Derivative Runge-Kutta method (TDRK) based on First Same as Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK).
format Article
author Ahmad, Nur Amirah
Senu, Norazak
spellingShingle Ahmad, Nur Amirah
Senu, Norazak
Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
author_facet Ahmad, Nur Amirah
Senu, Norazak
author_sort Ahmad, Nur Amirah
title Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
title_short Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
title_full Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
title_fullStr Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
title_full_unstemmed Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems
title_sort two derivative runge-kutta method with fsal property for the solution of first order initial value problems
publisher Indian Society for Education and Environment
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/51862/1/Two%20derivative%20Runge-Kutta%20method%20with%20FSAL%20property%20for%20the%20solution%20of%20first%20order%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/51862/
http://www.indjst.org/index.php/indjst/article/view/97748
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score 13.250246

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