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Jankowski, Tadeusz
On numerical solution of ordinary differential equations with discontinuities. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 487-492
MSC: 34A34, 65L05 | MR 0973242 | Zbl 0671.65061 | DOI: 10.21136/AM.1988.104326
Keywords:
discontinuities; system; one-step method; convergence; order of convergence; numerical solution of differential equations
Summary:
The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be $O(h^v)$.
References:
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