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Journal
2014 | 12 | 9 | 637-653
Article title

A shifted Jacobi collocation algorithm for wave type equations with non-local conservation conditions

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EN
Abstracts
EN
In this paper, we propose an efficient spectral collocation algorithm to solve numerically wave type equations subject to initial, boundary and non-local conservation conditions. The shifted Jacobi pseudospectral approximation is investigated for the discretization of the spatial variable of such equations. It possesses spectral accuracy in the spatial variable. The shifted Jacobi-Gauss-Lobatto (SJ-GL) quadrature rule is established for treating the non-local conservation conditions, and then the problem with its initial and non-local boundary conditions are reduced to a system of second-order ordinary differential equations in temporal variable. This system is solved by two-stage forth-order A-stable implicit RK scheme. Five numerical examples with comparisons are given. The computational results demonstrate that the proposed algorithm is more accurate than finite difference method, method of lines and spline collocation approach
Publisher

Journal
Year
Volume
12
Issue
9
Pages
637-653
Physical description
Dates
published
1 - 9 - 2014
online
31 - 7 - 2014
Contributors
author
  • Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt, eiddoha@frcu.eun.eg
  • Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt, melkawy@yahoo.com
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0493-4
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