Diagonally implicit hybrid method for solving special second order ordinary differential equations

This paper describes the derivation of a fifth-order diagonally implicit hybrid method. The method is zero dissipative and has phase-lag of order six. The method is compared with the existing hybrid method and the numerical comparisons carried out show that the new method improves the accuracy of th...

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Main Authors: Samat, Faieza, Suleiman, Mohamed
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2016
Online Access:http://psasir.upm.edu.my/id/eprint/52351/
http://psasir.upm.edu.my/id/eprint/52351/1/No21.pdf
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author Samat, Faieza
Suleiman, Mohamed
author_facet Samat, Faieza
Suleiman, Mohamed
author_sort Samat, Faieza
building UPM Institutional Repository
collection Online Access
description This paper describes the derivation of a fifth-order diagonally implicit hybrid method. The method is zero dissipative and has phase-lag of order six. The method is compared with the existing hybrid method and the numerical comparisons carried out show that the new method improves the accuracy of the existing method for solving several special second order ordinary differential equations.
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spelling upm-523512017-06-05T09:34:09Z http://psasir.upm.edu.my/id/eprint/52351/ Diagonally implicit hybrid method for solving special second order ordinary differential equations Samat, Faieza Suleiman, Mohamed This paper describes the derivation of a fifth-order diagonally implicit hybrid method. The method is zero dissipative and has phase-lag of order six. The method is compared with the existing hybrid method and the numerical comparisons carried out show that the new method improves the accuracy of the existing method for solving several special second order ordinary differential equations. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52351/1/No21.pdf Samat, Faieza and Suleiman, Mohamed (2016) Diagonally implicit hybrid method for solving special second order ordinary differential equations. Malaysian Journal of Mathematical Sciences, 10 (spec. Feb.). pp. 243-251. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No21.pdf
spellingShingle Samat, Faieza
Suleiman, Mohamed
Diagonally implicit hybrid method for solving special second order ordinary differential equations
title Diagonally implicit hybrid method for solving special second order ordinary differential equations
title_full Diagonally implicit hybrid method for solving special second order ordinary differential equations
title_fullStr Diagonally implicit hybrid method for solving special second order ordinary differential equations
title_full_unstemmed Diagonally implicit hybrid method for solving special second order ordinary differential equations
title_short Diagonally implicit hybrid method for solving special second order ordinary differential equations
title_sort diagonally implicit hybrid method for solving special second order ordinary differential equations
url http://psasir.upm.edu.my/id/eprint/52351/
http://psasir.upm.edu.my/id/eprint/52351/
http://psasir.upm.edu.my/id/eprint/52351/1/No21.pdf