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

Abstract

The stability properties for singly diagonally implicit runge-kutta method fourth order five stages embedded in fifth six stages combined with lagrange interpolsation when applied to the linear delay differential equation.

are investigated. Their regions of stability for are determined and numerical results when some problems are solved using the method are presented.

Keywords:

• Singly diagonally implicit Runge–Kutta methods
• Delay differential equations
• P-stability and Q-stability

C.R. Categories:

• G.1.7

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Notes

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