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

CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems Cano, Begoña Reguera López, Nuria Exponential methods Lawson methods Nonlinear reaction-diffusion problems Order reduction Matemáticas Mathematics 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. Ministerio de Ciencia e Innovación and Regional Development European Funds, Grant/Award Number: PGC2018-101443-B-I00; Junta de Castilla y León and Feder, Grant/Award Number: VA169P20 2023-02-07T12:04:48Z 2023-02-07T12:04:48Z 2022-06 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 0170-4214 http://hdl.handle.net/10259/7410 10.1002/mma.8451 1099-1476 eng Mathematical Methods in the Applied Sciences. 2022, V. 45, n. 17, p. 11319-11330 https://doi.org/10.1002/mma.8451 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101443-B-I00/ES/RESOLUCION NUMERICA PRECISA EN TIEMPO DE ECUACIONES EN DERIVADAS PARCIALES/ info:eu-repo/grantAgreement/Junta de Castilla y León//VA169P20//Inversión en tecnologías limpias y políticas medioambientales: Modelización matemática y análisis mediante juegos dinámicos/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess application/pdf Wiley https://riubu.ubu.es/bitstream/10259/7410/4/Cano-mmas_2022.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by-nc-nd/4.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/7410