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A New Analyzing Method for Hyperbolic Telegraph Equation
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  • Imtiaz Ahmad,
  • Ahmed Abouelregal,
  • Hijaz Ahmad,
  • Phatiphat Thounthong,
  • Mahmoud Abdel-Aty
Imtiaz Ahmad
University of Swabi
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Ahmed Abouelregal
Mansoura University Faculty of Science
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Hijaz Ahmad
NWFP University of Engineering and Technology
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Phatiphat Thounthong
King Mongkut's University of Technology North Bangkok
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Mahmoud Abdel-Aty
Sohag University Faculty of Science
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Abstract

We proposed an efficient local differential quadrature method which is based on the radial basis function to the numerical solution of the two-dimensional second-order hyperbolic telegraph equations. The explicit time integration technique is utilized to semi-discretize the model in the time direction whereas the space derivatives of the model is discretized by the proposed local meshless procedure based on multiquadric radial basis function. Numerical experiments on ve test problems are performed with the proposed numerical scheme for rectangular and non-rectangular computational domains. The results obtained show that the proposed scheme solutions are converging extremely faster comparable to different existing protocols.