Journal of Applied Mathematics

Differential Quadrature Solution of Hyperbolic Telegraph Equation

B. Pekmen and M. Tezer-Sezgin

Full-text: Open access

Abstract

Differential quadrature method (DQM) is proposed for the numerical solution of one- and two-space dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial-based differential quadrature (PDQ) and Fourier-based differential quadrature (FDQ) are used in space directions while PDQ is made use of in time direction. Numerical solution is obtained by using Gauss-Chebyshev-Lobatto grid points in space intervals and equally spaced and/or GCL grid points for the time interval. DQM in time direction gives the solution directly at a required time level or steady state without the need of iteration. DQM also has the advantage of giving quite good accuracy with considerably small number of discretization points both in space and time direction.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 924765, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495230

Digital Object Identifier
doi:10.1155/2012/924765

Mathematical Reviews number (MathSciNet)
MR2956514

Zentralblatt MATH identifier
1251.65134

Citation

Pekmen, B.; Tezer-Sezgin, M. Differential Quadrature Solution of Hyperbolic Telegraph Equation. J. Appl. Math. 2012 (2012), Article ID 924765, 18 pages. doi:10.1155/2012/924765. https://projecteuclid.org/euclid.jam/1355495230


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