Displaying similar documents to “On approximate solutions of initial value problems for integro-differential equation with quasilinear differential operator and generalized Volterra operator”

On numerical integration of implicit ordinary differential equations

Zdzisław Jackiewicz, Marian Kwapisz (1981)

Aplikace matematiky

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In this paper it is shown how the numerical methods for ordinary differential equations can be adapted to implicit ordinary differential equations. The resulting methods are of the same order as the corresponding methods for ordinary differential equations. The convergence theorem is proved and some numerical examples are given.