Explicit Numerov type methods with reduced number of stages

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dc.contributor.author Tsitouras, Ch en
dc.date.accessioned 2014-03-01T01:18:59Z
dc.date.available 2014-03-01T01:18:59Z
dc.date.issued 2003 en
dc.identifier.issn 0898-1221 en
dc.identifier.uri http://hdl.handle.net/123456789/15301
dc.subject Hybrid methods en
dc.subject Initial value problem en
dc.subject Numerical solution en
dc.subject Two step methods en
dc.subject.classification Computer Science, Interdisciplinary Applications en
dc.subject.classification Mathematics, Applied en
dc.subject.other Algebra en
dc.subject.other Approximation theory en
dc.subject.other Interpolation en
dc.subject.other Nonlinear systems en
dc.subject.other Runge Kutta methods en
dc.subject.other Hybrid methods en
dc.subject.other Initial value problems en
dc.title Explicit Numerov type methods with reduced number of stages en
heal.type journalArticle en
heal.identifier.primary 10.1016/S0898-1221(03)80005-6 en
heal.identifier.secondary http://dx.doi.org/10.1016/S0898-1221(03)80005-6 en
heal.language English en
heal.publicationDate 2003 en
heal.abstract We present in this paper a new approach for the derivation of hybrid explicit Numerov type methods. The new methodology does not require the intermediate use of high accuracy interpolatory nodes, since we only need the Taylor expansion of the internal points. As a consequence, a sixth-order method is produced at a cost of only four stages per step instead of six stages needed for the methods which have appeared in the literature until now. Numerical results over some well-known problems in physics and mechanics indicate the superiority of the new method. (C) 2003 Elsevier Science Ltd. All rights reserved. en
heal.journalName Computers and Mathematics with Applications en
dc.identifier.doi 10.1016/S0898-1221(03)80005-6 en
dc.identifier.isi ISI:000181299700005 en
dc.identifier.volume 45 en
dc.identifier.issue 1-3 en
dc.identifier.spage 37 en
dc.identifier.epage 42 en

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