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dc.contributor.authorChand, Prem Bahadur
dc.contributor.authorChicharro, Francisco Israel (1)
dc.contributor.authorGarrido, Neus
dc.contributor.authorJain, Pankaj
dc.date2019-10-11
dc.date.accessioned2019-12-12T08:27:55Z
dc.date.available2019-12-12T08:27:55Z
dc.identifier.citationChand, P.B.; Chicharro, F.I.; Garrido, N.; Jain, P. Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications. Mathematics 2019, 7, 942.es_ES
dc.identifier.issn2227-7390
dc.identifier.urihttps://reunir.unir.net/handle/123456789/9623
dc.description.abstractIn this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are tested on some numerical examples, and the results are compared with some known methods of the corresponding order. It is proved that the results obtained from the proposed methods are compatible with other methods. The proposed methods are tested on some problems related to engineering and science. Furthermore, applying these methods on quadratic and cubic polynomials, their stability is analyzed by means of their basins of attraction.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.publisherMathematicses_ES
dc.relation.ispartofseries;vol. 7, nº 942
dc.relation.urihttps://www.mdpi.com/2227-7390/7/10/942es_ES
dc.rightsopenAccesses_ES
dc.subjectnonlinear equationses_ES
dc.subjectPotra–Pták methodes_ES
dc.subjectoptimal methodses_ES
dc.subjectweight functiones_ES
dc.subjectbasin of attractiones_ES
dc.subjectengineering applicationses_ES
dc.subjectScopuses_ES
dc.subjectJCRes_ES
dc.titleDesign and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applicationses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~OPIes_ES
dc.identifier.doihttp://dx.doi.org/10.3390/math7100942


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