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The multi-step homotopy analysis method for solving the Jaulent-Miodek equations

dc.creatorZurigat, Mohammad
dc.creatorFreihat, Asad A.
dc.creatorHandam, Ali H.
dc.date2015-03-01
dc.date.accessioned2019-11-14T11:59:12Z
dc.date.available2019-11-14T11:59:12Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1264
dc.identifier10.4067/S0716-09172015000100004
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113055
dc.descriptionIn this work, the multi-step homotopy analysis method (MHAM) is applied to obtain the explicit analytical solutions for system of the Jaulent Miodek equations. The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Thus, it is valid for both weakly and strongly nonlinear problems. this work verifies the validity and the potential of the MHAM for the study of nonlinear systems. A comparative study between the new algorithm and the exact solution is presented graphically. convenient.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/1264/1136
dc.rightsDerechos de autor 2015 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 34 No 1 (2015); 45-54en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 34 Núm. 1 (2015); 45-54es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectDifferential algebraic equationses-ES
dc.subjectmulti-step homotopy analysis methodes-ES
dc.subjectNumerical solutions.es-ES
dc.titleThe multi-step homotopy analysis method for solving the Jaulent-Miodek equationses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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