Numerical solution for solving inverse telegraph equation by extended cubic B-spline

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Pourgholi Reza; Torabi Fateme

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2023 | Volume:14 | Issue:6 Page(s): 291-302

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Information Journal Paper

Title

Numerical solution for solving inverse telegraph equation by extended cubic B-spline

Author(s)

Pourgholi Reza | Torabi Fateme | Issue Writer Certificate

Keywords

Extended Cubic B-spline Collocation Method

stability

Convergence analysis

Telegraph Equation

Abstract

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.

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