A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation

@article{Hesameddini2016ANS,
  title={A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation},
  author={Esmail Hesameddini and Elham Asadolahifard},
  journal={Computers & Mathematics with Applications},
  year={2016},
  volume={72},
  pages={1926-1942}
}
Abstract Telegraph equation is more suitable than ordinary diffusion equation in modeling reaction–diffusion for several branches of sciences and engineering. In this paper, a new numerical technique is proposed for solving the second order two dimensional hyperbolic telegraph equation subject to initial and Dirichlet boundary conditions. Firstly, a time discrete scheme based on the finite difference method is obtained. Unconditional stability and convergence of this semi-discrete scheme are… CONTINUE READING

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