Cano, B.Moreta Santos, María Jesús2024-12-092024-12-092020-01-21B. Cano y M. J. Moreta. A modified Gautchi’s method without order reduction when integrating boundary value nonlinear wave problems, Applied Mathematics and Computation, Vol. 373 (2020). Article 125022.0096-300310.1016/j.amc.2019.125022https://hdl.handle.net/20.500.14352/112195In this paper we analyse the order reduction which turns up when integrating nonlinear wave problems with non-homogeneous and time-dependent boundary conditions with the well-known Gautschi’s method. Moreover, a technique is suggested to avoid that order re- duction so that the classical local order 4 and global order 2 are recovered. On the other hand, the usual approximation for the derivative which is used together with this method is also analysed and a substantial improvement is suggested. Some numerical results are shown which corroborate the performed analysis.engjournal article1873-5649https://doi.org/10.1016/j.amc.2019.125022restricted access519.6Gautschi’s methodInitial boundary value problemNonlinear wave equationsAvoiding order reductionMatemáticas (Matemáticas)Análisis numérico1206 Análisis Numérico1206.13 Ecuaciones Diferenciales en Derivadas Parciales