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: | , |
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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/ https://www.tandfonline.com/doi/abs/10.1080/00207160008805023 |
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| Summary: | 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. |
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