In this chapter, we introduce a numerical technique for Volterra delay integrodifferential equations. The technique is based on the mono-implicit Runge-Kutta method and collocation method for the integral part. In the following pages, the efficiency and stability properties of this technique are examined. Later, numerical results are presented to demonstrate the effectiveness of the methodology.

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Mono-Implicit Runge-Kutta Methods for Volterra Delay Integrodifferential Equations

  • Fathalla A. Rihan

摘要

In this chapter, we introduce a numerical technique for Volterra delay integrodifferential equations. The technique is based on the mono-implicit Runge-Kutta method and collocation method for the integral part. In the following pages, the efficiency and stability properties of this technique are examined. Later, numerical results are presented to demonstrate the effectiveness of the methodology.