A New Analyzing Method for Hyperbolic Telegraph Equation
- Imtiaz Ahmad,
- Ahmed Abouelregal,
- Hijaz Ahmad,
- Phatiphat Thounthong,
- Mahmoud Abdel-Aty
Hijaz Ahmad
NWFP University of Engineering and Technology
Author ProfilePhatiphat Thounthong
King Mongkut's University of Technology North Bangkok
Author ProfileAbstract
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.