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....
| Main Authors: | , |
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| Format: | Article |
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Gordon & Breach Science Publ IncNewark
2000
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115279/ |
| _version_ | 1848866734371504128 |
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| author | Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T14:25:18Z |
| format | Article |
| id | upm-115279 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:25:18Z |
| publishDate | 2000 |
| publisher | Gordon & Breach Science Publ IncNewark |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Ismail, Fudziah Suleiman, Mohamed The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/115279/ http://psasir.upm.edu.my/id/eprint/115279/ http://psasir.upm.edu.my/id/eprint/115279/ |