RT info:eu-repo/semantics/article T1 Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions A1 Alonso Mallo, Isaías A1 Portillo de la Fuente, Ana María AB The Klein–Gordon equation on an infinite two dimensional strip is considered. Numerical computation is reduced to a finite domain by using the Hagstrom–Warburton (H–W) absorbing boundary conditions (ABCs) with free parameters in the formulation of the auxiliary variables. The spatial discretization is achieved by using fourth order finite differences and the time integration is made by means of an efficient and easy to implement fourth order exponential splitting scheme which was used in Alonso-Mallo and Portillo (2016) considering the fixed Padé parameters in the formulation of the ABCs. Here, we generalize the splitting time technique to other choices of the parameters. To check the timeintegrator we consider, on one hand, fourty peso ffixed parameters, the Newmann’s parameters, the Chebyshev’s parameters, the Padé’s parameters and optimal parameters proposed in Hagstrom et al. (2007) and, on the other hand, an adaptive scheme for the dynamic control of the order of absorption and the parameters. We study the efficiency of the splitting scheme by comparing with thefourth-order four-stage Runge–Kutta method. YR 2018 FD 2018 LK http://uvadoc.uva.es/handle/10324/40699 UL http://uvadoc.uva.es/handle/10324/40699 LA spa NO Journal of Computational and Applied Mathematics Volume 333, 1 May 2018, Pages 185-199 DS UVaDOC RD 29-mar-2024