Title of article :
A new approach for solution of telegraph equation
Author/Authors :
Zarebnia, Mohammad Department of Mathematics - University of Mohaghegh Ardabili, Ardabil, Iran , Parvaz, Reza Department of Mathematics - University of Mohaghegh Ardabili, Ardabil, Iran
Abstract :
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∞,L2 and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.
Keywords :
Telegraph equation , Collocation method , Convergence
Journal title :
International Journal of Nonlinear Analysis and Applications
