A numerical method for solving the hyperbolic telegraph equation

作者：Dehghan Mehdi^*; Shokri Ali

来源：Numerical Methods for Partial Differential Equations, 2008, 24(4): 1080-1093.

DOI：10.1002/num.20306

• collocation
• radial basis RBF)
• second-order hyperbolic telegraph equation
• thin plate splines (TPS)

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this article, we propose a numerical scheme to solve the one-dimensional hyperbolic telegraph equation using collocation points and approximating the solution using thin plate splines radial basis function. The scheme works in a similar fashion as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.

• 出版日期2008-7