000076032 001__ 76032
000076032 005__ 20190709135453.0
000076032 0247_ $$2doi$$a10.1016/j.cam.2015.12.005
000076032 0248_ $$2sideral$$a98965
000076032 037__ $$aART-2017-98965
000076032 041__ $$aeng
000076032 100__ $$aVigo-Aguiar, J.
000076032 245__ $$aA first approach in solving initial-value problems in ODEs by elliptic fitting methods
000076032 260__ $$c2017
000076032 5060_ $$aAccess copy available to the general public$$fUnrestricted
000076032 5203_ $$aExponentially-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.
000076032 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000076032 590__ $$a1.632$$b2017
000076032 591__ $$aMATHEMATICS, APPLIED$$b49 / 252 = 0.194$$c2017$$dQ1$$eT1
000076032 592__ $$a0.938$$b2017
000076032 593__ $$aComputational Mathematics$$c2017$$dQ2
000076032 593__ $$aApplied Mathematics$$c2017$$dQ2
000076032 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000076032 700__ $$aRamos, H.
000076032 700__ $$0(orcid)0000-0003-1263-1996$$aClavero, C.$$uUniversidad de Zaragoza
000076032 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000076032 773__ $$g318 (2017), 599-603$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000076032 8564_ $$s262781$$uhttps://zaguan.unizar.es/record/76032/files/texto_completo.pdf$$yPostprint
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000076032 909CO $$ooai:zaguan.unizar.es:76032$$particulos$$pdriver
000076032 951__ $$a2019-07-09-11:41:52
000076032 980__ $$aARTICLE