2026-04-20T15:52:49Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/74102023-03-27T11:32:11Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Cano, Begoña Reguera López, Nuria 2023-02-07T12:04:48Z 2023-02-07T12:04:48Z 2022-06 0170-4214 http://hdl.handle.net/10259/7410 10.1002/mma.8451 1099-1476 In this paper a thorough analysis is carried out of the type of order reduction that Lawson methods exhibit when used to integrate nonlinear initial boundary value problems. In particular, we focus on nonlinear reaction-diffusion problems, and therefore, this study is important in a large number of practical applications modeled by this type of nonlinear equations. A theoretical study of the local and global error of the total discretization of the problem is carried out, taking into account both, the error coming from the space discretization and that due to the integration in time. These results are also corroborated by the numerical experiments performed in this paper. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Exponential methods Lawson methods Nonlinear reaction-diffusion problems Order reduction CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems info:eu-repo/semantics/article