A new approach for solution of Telegraph equation

Document Type : Research Paper

Authors

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

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

10.22075/ijnaa.2021.4811

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.

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