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.
Zarebnia, M., Parvaz, R. (2021). A new approach for solution of telegraph equation. International Journal of Nonlinear Analysis and Applications, 12(1), 385-396. doi: 10.22075/ijnaa.2021.4811
MLA
Mohammad Zarebnia; Reza Parvaz. "A new approach for solution of telegraph equation". International Journal of Nonlinear Analysis and Applications, 12, 1, 2021, 385-396. doi: 10.22075/ijnaa.2021.4811
HARVARD
Zarebnia, M., Parvaz, R. (2021). 'A new approach for solution of telegraph equation', International Journal of Nonlinear Analysis and Applications, 12(1), pp. 385-396. doi: 10.22075/ijnaa.2021.4811
VANCOUVER
Zarebnia, M., Parvaz, R. A new approach for solution of telegraph equation. International Journal of Nonlinear Analysis and Applications, 2021; 12(1): 385-396. doi: 10.22075/ijnaa.2021.4811
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