%0 Journal Article
%T Numerical solution for solving inverse telegraph equation by extended cubic B-spline
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Pourgholi, Reza
%A Torabi, Fateme
%D 2023
%\ 06/01/2023
%V 14
%N 6
%P 291-302
%! Numerical solution for solving inverse telegraph equation by extended cubic B-spline
%K Extended Cubic B-spline Collocation Method
%K stability
%K Convergence analysis
%K Telegraph Equation
%R 10.22075/ijnaa.2021.22610.2391
%X In this paper, we consider a numerical method based on extended cubic B-spline basis functions for the determination of an unknown boundary condition in the inverse second-order one-dimensional hyperbolic telegraph equation. Extended cubic B-spline (ExCuBs) is an extension of cubic B-spline consisting of a parameter, we combined it with the Tikhonov regularization method to obtain a numerically stable solution. The convergence and stability of the technique are proved and shown that it is established under suitable assumptions and accurate order $O(k+h^2)$. The numerical results have been compared with those obtained by the cubic B-spline method to verify the accurate nature of our method.
%U https://ijnaa.semnan.ac.ir/article_7016_4cfe511240ed58ba4dd76512339ada71.pdf