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Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs
dc.contributor.author | Ahmad, Fayyaz |
dc.contributor.author | Tohidi, Emran |
dc.contributor.author | Ullah, Malik Zaka |
dc.contributor.author | Carrasco, Juan A. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica |
dc.date.accessioned | 2016-02-23T20:35:12Z |
dc.date.available | 2017-08-01T00:30:21Z |
dc.date.issued | 2015-08-01 |
dc.identifier.citation | Ahmad, F., Tohidi, E., Ullah, M., Carrasco, J. Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs. "Computers & mathematics with applications", 01 Agost 2015, vol. 70, núm. 4, p. 624-636. |
dc.identifier.issn | 0898-1221 |
dc.identifier.uri | http://hdl.handle.net/2117/83353 |
dc.description.abstract | This paper proposes a multi-step iterative method for solving systems of nonlinear equations with a local convergence order of 3m - 4, where in (>= 2) is the number of steps. The multi-step iterative method includes two parts: the base method and the multi-step part. The base method involves two function evaluations, two Jacobian evaluations, one LU decomposition of a Jacobian, and two matrix-vector multiplications. Every stage of the multi-step part involves the solution of two triangular linear systems and one matrix-vector multiplication. The computational efficiency of the new method is better than those of previously proposed methods. The method is applied to several nonlinear problems resulting from discretizing nonlinear ordinary differential equations and nonlinear partial differential equations. (C) 2015 Elsevier Ltd. All rights reserved. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Iterative methods |
dc.subject.lcsh | Differential equations, Nonlinear |
dc.subject.lcsh | Newton-Raphson method |
dc.subject.other | Multi-step iterative methods |
dc.subject.other | Systems of nonlinear equations |
dc.subject.other | Newton's method |
dc.subject.other | Computational efficiency |
dc.subject.other | Nonlinear ordinary differential equations |
dc.subject.other | Nonlinear partial differential equations |
dc.subject.other | iterative methods |
dc.subject.other | numerical-solution |
dc.subject.other | newtons method |
dc.subject.other | general-class |
dc.subject.other | convergence |
dc.title | Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs |
dc.type | Article |
dc.subject.lemac | Mètodes iteratius (Matemàtica) |
dc.subject.lemac | Equacions diferencials no lineals |
dc.subject.lemac | Newton-Raphson, Mètode de |
dc.contributor.group | Universitat Politècnica de Catalunya. GAA - Grup d'Astronomia i Astrofísica |
dc.identifier.doi | 10.1016/j.camwa.2015.05.012 |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0898122115002357 |
dc.rights.access | Open Access |
local.identifier.drac | 16889670 |
dc.description.version | Postprint (updated version) |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN//AYA2010-15685/ES/ULTIMOS ESTADIOS DE LA EVOLUCION ESTELAR EN SISTEMAS BINARIOS: NOVAS CLASICAS Y RECURRENTES, SUPERNOVAS, ERUPCIONES DE RAYOS X Y COALESCENCIAS/ |
local.citation.author | Ahmad, F.; Tohidi, E.; Ullah, M.; Carrasco, J. |
local.citation.publicationName | Computers & mathematics with applications |
local.citation.volume | 70 |
local.citation.number | 4 |
local.citation.startingPage | 624 |
local.citation.endingPage | 636 |
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