Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorYoussria, Y.H
dc.contributor.authorHafez, R.M.
dc.contributor.authorDohaa, E.H
dc.date.accessioned2019-11-21T09:25:37Z
dc.date.available2019-11-21T09:25:37Z
dc.date.issued2019-08
dc.descriptionAccession Number: WOS:000473376400013en_US
dc.description.abstractHerein, we propose a numerical scheme to solve spectrally hyperbolic partial differential equations (HPDEs) using Galerkin method and approximate the solutions using double shifted Jacobi Polynomials. The main characteristic behind this approach is that it reduces such problems to those of solving systems of algebraic equations which greatly simplifies the problem. The validity and efficiency of the proposed method are investigated and verified through several examples. (C) 2019 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doihttps://doi.org/10.1016/j.camwa.2019.03.011
dc.identifier.issn0898-1221
dc.identifier.otherhttps://doi.org/10.1016/j.camwa.2019.03.011
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0898122119301300
dc.language.isoen_USen_US
dc.publisherPERGAMON-ELSEVIER SCIENCE LTDen_US
dc.relation.ispartofseriesCOMPUTERS & MATHEMATICS WITH APPLICATIONS;Volume: 78 Issue: 3 Pages: 889-904
dc.relation.urihttps://cutt.ly/oeXeB7f
dc.subjectUniversity for SYSTEMen_US
dc.subjectCOLLOCATION METHODen_US
dc.subjectTELEGRAPH EQUATIONen_US
dc.subjectVARIABLE-COEFFICIENTSen_US
dc.subjectNUMERICAL-SOLUTIONen_US
dc.subjectGAUSS-RADAU SCHEMEen_US
dc.subjectGalerkin methoden_US
dc.subjectShifted Jacobi polynomialsen_US
dc.subjectHyperbolic partial differential equationsen_US
dc.titleShifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equationsen_US
dc.typeArticleen_US

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