Document Type : Research Paper

Authors

• Mohammad Zarebnia ¹
• Reza Parvaz ²

¹ Department of Mathematics‎, ‎University of Mohaghegh Ardabili‎, ‎56199-11367 Ardabil‎, ‎Iran‎

² Department of Mathematics‎, ‎University of Mohaghegh Ardabili‎, ‎56199-11367 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 $L_\infty$,$L_2$ and Root-Mean-Square‎ errors (RMS) in the solutions show the efficiency of the method‎ ‎computationally‎.

Keywords

• ‎Telegraph equation‎
• ‎Collocation method‎
• ‎Convergence‎