2026-04-28T19:00:27Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/406992025-03-26T19:10:03Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Alonso Mallo, Isaías Portillo de la Fuente, Ana María 2020-04-03T17:15:39Z 2020-04-03T17:15:39Z 2018 Journal of Computational and Applied Mathematics Volume 333, 1 May 2018, Pages 185-199 http://uvadoc.uva.es/handle/10324/40699 10.1016/j.cam.2017.10.038 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. spa info:eu-repo/semantics/openAccess Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions info:eu-repo/semantics/article