A collocation method for numerical solution of Telegraph equation
Provides a numerical method for solving telegraph equations, but is an incremental application of existing collocation techniques to a specific PDE.
Developed a B-spline collocation method for solving the one-dimensional hyperbolic telegraph equation, proving convergence and demonstrating computational efficiency through error metrics (L∞, L2, RMS) on test examples.
In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples, and the numerical results have been compared with the analytical solutions. The $L_\infty$,$L_2$ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.