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Journal Articles Applied Mathematics and Computation Year : 2012

Higher order Runge-Kutta methods for impulsive differential systems

Qamar Din
  • Function : Author
Tzanko D. Donchev
  • Function : Author

Abstract

This paper studies higher order approximations of solutions of differential equations with non-fixed times of impulses. We assume that the right-hand side is sufficiently smooth. Using a Runge-Kutta method of higher order and natural assumptions on the impulsive surfaces and the impulses, we calculate good approximations of the jump times, which enables us to extend the classical results for higher order of convergence of Runge-Kutta methods to more complicated systems.

Dates and versions

hal-00724867 , version 1 (22-08-2012)

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Robert Baier, Qamar Din, Tzanko D. Donchev. Higher order Runge-Kutta methods for impulsive differential systems. Applied Mathematics and Computation, 2012, 218 (24), pp.11790-11798. ⟨10.1016/j.amc.2012.05.037⟩. ⟨hal-00724867⟩
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