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2012 Differential Quadrature Solution of Hyperbolic Telegraph Equation
B. Pekmen, M. Tezer-Sezgin
J. Appl. Math. 2012: 1-18 (2012). DOI: 10.1155/2012/924765

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.

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B. Pekmen. M. Tezer-Sezgin. "Differential Quadrature Solution of Hyperbolic Telegraph Equation." J. Appl. Math. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/924765

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.65134
MathSciNet: MR2956514
Digital Object Identifier: 10.1155/2012/924765

Rights: Copyright © 2012 Hindawi

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