Title
Differential Quadrature Solution of Hyperbolic Telegraph Equation.
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.
Year
DOI
Venue
2012
10.1155/2012/924765
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Gauss–Kronrod quadrature formula,Nyström method,Boundary value problem,Discretization,Mathematical optimization,Telegrapher's equations,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Quadrature (mathematics),Mathematics
Journal
2012
ISSN
Citations 
PageRank 
1110-757X
3
0.43
References 
Authors
3
2
Name
Order
Citations
PageRank
Bengisen Pekmen1101.30
M. Tezer-Sezgin2124.12