76032 20190709135453.0 doi 10.1016/j.cam.2015.12.005 sideral 98965 ART-2017-98965 eng Vigo-Aguiar, J. A first approach in solving initial-value problems in ODEs by elliptic fitting methods 2017 Access copy available to the general public Unrestricted Exponentially-fitted and trigonometrically-fitted methods have a long successful history in the solution of initial-value problems, but other functions might be considered in adapted methods. Specifically, this paper aims at the derivation of a new numerical scheme for approximating initial value problems of ordinary differential equations using elliptic functions. The example considered is the undamped Duffing equation where the forcing term is of autonomous type affected by a perturbation parameter. The new scheme is constructed by considering a suitable approximation to the theoretical solution based on elliptic functions. The proposed elliptic fitting procedure has been tested on a variety of problems, showing its good performance. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.632 2017 MATHEMATICS, APPLIED 49 / 252 = 0.194 2017 Q1 T1 0.938 2017 Computational Mathematics 2017 Q2 Applied Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Ramos, H. (orcid)0000-0003-1263-1996 Clavero, C. Universidad de Zaragoza 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 318 (2017), 599-603 J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 262781 http://zaguan.unizar.es/record/76032/files/texto_completo.pdf Postprint 70283 http://zaguan.unizar.es/record/76032/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:76032 articulos driver 2019-07-09-11:41:52 ARTICLE