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• W2040892753 abstract "This paper is concerned with the numerical solution of implicit neutral functional differential equations. Based on the continuous Runge--Kutta method (for ordinary differential equations) and the collocation method (for functional equations), two general one-step methods are formulated and their uniform order of approximation is discussed. Numerical stability of a class of Runge--Kutta-collocation methods is analyzed. In the case where a neutral equation can be expressed in an explicit as well as an implicit form, the advantage of constructing a numerical scheme directly from the implicit form is explained theoretically and demonstrated by a numerical example." @default.
• W2040892753 created "2016-06-24" @default.
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• W2040892753 date "1999-01-01" @default.
• W2040892753 modified "2023-09-25" @default.
• W2040892753 title "Numerical Solution of Implicit Neutral Functional Differential Equations" @default.
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• W2040892753 doi "https://doi.org/10.1137/s003614299731867x" @default.
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