# 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} }

- Published in Computers & Mathematics with…2016
DOI:10.1016/j.camwa.2016.08.003

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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