University of Cambridge Runge{kutta{collocation Methods for Systems of Functional-diierential and Functional Equations Runge{kutta{collocation Methods for Systems of Functional-diierential and Functional Equations
نویسنده
چکیده
Systems of functional-diierential and functional equations occur in many biological, control and physics problems. They also include functional diierential equations of neutral type as special cases. In this paper we present a numerical method that is based on the continuous extension of the Runge{Kutta method (for ordinary diierential equations) and the collocation method (for functional equations). Order of approximation and stability of this Runge{Kutta-Collocation method are discussed.
منابع مشابه
Numerical solution of implicit neutral
This paper is concerned with the numerical solution of implicit neutral functional diierential equations. Based on the continuous Runge{Kutta method (for ordinary diierential equations) and the collocation method (for functional equations), two general one-step methods are formulated and their uniform order of approximation are discussed. Numerical stability of a class of Runge{Kutta-Collocatio...
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