dc.contributor.advisor |
https://cutt.ly/hePtIOE |
|
dc.contributor.author |
Doha, E. H. |
|
dc.contributor.author |
Bhrawy, A. H. |
|
dc.contributor.author |
Hafez, R. M. |
|
dc.date.accessioned |
2019-11-12T08:09:14Z |
|
dc.date.available |
2019-11-12T08:09:14Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Cited References in Web of Science Core Collection: 32 |
en_US |
dc.identifier.issn |
0895-7177 |
|
dc.identifier.other |
https://doi.org/10.1016/j.mcm.2011.01.002 |
|
dc.identifier.uri |
https://www.sciencedirect.com/science/article/pii/S0895717711000057 |
|
dc.description |
Accession Number: WOS:000287729700024 |
en_US |
dc.description.abstract |
his paper analyzes a method for solving the third-and fifth-order differential equations with constant coefficients using a Jacobi dual-Petrov-Galerkin method, which is more reasonable than the standard Galerkin one. The spatial approximation is based on Jacobi polynomials P-n((alpha,beta)) with alpha,beta is an element of (-1,infinity) and n is the polynomial degree. By choosing appropriate base functions, the resulting system is sparse and the method can be implemented efficiently. A Jacobi-Jacobi dual-Petrov-Galerkin method for the differential equations with variable coefficients is developed. This method is based on the Petrov-Galerkin variational form of one Jacobi polynomial class, but the variable coefficients and the right-hand terms are treated by using the Gauss-Lobatto quadrature form of another Jacobi class. Numerical results illustrate the theory and constitute a convincing argument for the feasibility of the proposed numerical methods. (C) 2011 Elsevier Ltd. All rights reserved. |
en_US |
dc.description.sponsorship |
PERGAMON-ELSEVIER SCIENCE LTD |
en_US |
dc.description.uri |
https://www.scimagojr.com/journalsearch.php?q=24558&tip=sid&clean=0 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
PERGAMON-ELSEVIER SCIENCE LTD |
en_US |
dc.relation.ispartofseries |
MATHEMATICAL AND COMPUTER MODELLING;Volume: 53 Issue: 9-10 Pages: 1820-1832 |
|
dc.subject |
October University for University for Petrov-Galerkin method |
en_US |
dc.subject |
Jacobi collocation method |
en_US |
dc.subject |
Jacobi polynomials |
en_US |
dc.subject |
Jacobi-Gauss-Lobatto quadrature |
en_US |
dc.subject |
Fast Fourier transform |
en_US |
dc.subject |
Jacobi-Jacobi Galerkin method |
en_US |
dc.title |
A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations |
en_US |
dc.type |
Article |
en_US |
dc.identifier.doi |
https://doi.org/10.1016/j.mcm.2011.01.002 |
|
dc.Affiliation |
October University for modern sciences and Arts (MSA) |
|