Moreta, M. JesúsBujanda Cirauqui, BlancaJorge Ulecia, Juan Carlos2020-09-222020-09-2220160898-122110.1016/j.camwa.2016.02.015https://academica-e.unavarra.es/handle/2454/38166We study some of the main features of Fractional Step Runge–Kutta–Nyström methods when they are used to integrate Initial–Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. We focus our attention on the order reduction phenomenon, which appears if classical boundary conditions are taken at the internal stages. This drawback is specially hard when time dependent boundary conditions are considered. In this paper we present an efficient technique, very simple and computationally cheap, which allows us to avoid the order reduction; such technique consists in modifying the boundary conditions for the internal stages of the method.33 p.application/pdfeng© 2016 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0Fractional Step Runge–Kutta–Nyström methodsSecond-order partial differential equationsOrder reductionStabilityConsistencyinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia