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The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations

The stability properties for Singly Diagonally Implicit Runge-Kutta method fourth order five stages embedded in fifth order six stages, combined with Lagrange interpolation when applied to the linear delay differential equation. y′(t) = λy(t)+μy(t-τ) (t≥0), y(t) = φ(t) (t∈[-τ, 0]) are investigated....

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Main Authors: Ismail, Fudziah, Suleiman, Mohamed
Format: Article
Published: Gordon & Breach Science Publ IncNewark 2000
Online Access:http://psasir.upm.edu.my/id/eprint/115279/
https://www.tandfonline.com/doi/abs/10.1080/00207160008805023
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spelling my.upm.eprints.1152792025-02-27T07:19:25Z http://psasir.upm.edu.my/id/eprint/115279/ The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations Ismail, Fudziah Suleiman, Mohamed The stability properties for Singly Diagonally Implicit Runge-Kutta method fourth order five stages embedded in fifth order six stages, combined with Lagrange interpolation when applied to the linear delay differential equation. y′(t) = λy(t)+μy(t-τ) (t≥0), y(t) = φ(t) (t∈[-τ, 0]) are investigated. Their regions of stability for (λ, μ∈R) and (μ∈C, λ = 0) are determined and numerical results when some problems are solved using the method are presented. Gordon & Breach Science Publ IncNewark 2000 Article PeerReviewed Ismail, Fudziah and Suleiman, Mohamed (2000) The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations. International Journal of Computer Mathematics, 76 (2). pp. 267-277. ISSN 0020-7160; eISSN: 0020-7160 https://www.tandfonline.com/doi/abs/10.1080/00207160008805023 10.1080/00207160008805023
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/
description The stability properties for Singly Diagonally Implicit Runge-Kutta method fourth order five stages embedded in fifth order six stages, combined with Lagrange interpolation when applied to the linear delay differential equation. y′(t) = λy(t)+μy(t-τ) (t≥0), y(t) = φ(t) (t∈[-τ, 0]) are investigated. Their regions of stability for (λ, μ∈R) and (μ∈C, λ = 0) are determined and numerical results when some problems are solved using the method are presented.
format Article
author Ismail, Fudziah
Suleiman, Mohamed
spellingShingle Ismail, Fudziah
Suleiman, Mohamed
The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
author_facet Ismail, Fudziah
Suleiman, Mohamed
author_sort Ismail, Fudziah
title The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
title_short The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
title_full The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
title_fullStr The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
title_full_unstemmed The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
title_sort p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
publisher Gordon & Breach Science Publ IncNewark
publishDate 2000
url http://psasir.upm.edu.my/id/eprint/115279/
https://www.tandfonline.com/doi/abs/10.1080/00207160008805023
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score 13.244413

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