Differential Quadrature Solution of Hyperbolic Telegraph Equation

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2012-01-01

Author

Pekmen, B.
Tezer, Münevver

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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.

Subject Keywords

2 space dimensions, Variable-coefficients, Numerical-solution, Scheme

URI

https://hdl.handle.net/11511/36247

Journal

JOURNAL OF APPLIED MATHEMATICS

DOI

https://doi.org/10.1155/2012/924765

Collections

Department of Mathematics, Article

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Citation Formats

B. Pekmen and M. Tezer, “Differential Quadrature Solution of Hyperbolic Telegraph Equation,” JOURNAL OF APPLIED MATHEMATICS, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36247.