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**The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation.**
*(English)*
Zbl 1169.65102

Summary: A numerical technique is presented for the solution of the second order one-dimensional linear hyperbolic equation. This method uses the Chebyshev cardinal functions. The method consists of expanding the required approximate solution as the elements of Chebyshev cardinal functions. Using the operational matrix of the derivative, the problem is reduced to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results.

### MSC:

65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |

35L15 | Initial value problems for second-order hyperbolic equations |

### Keywords:

Chebyshev cardinal functions; operational matrix of derivative; telegraph equation; second order hyperbolic equation; numerical examples
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\textit{M. Dehghan} and \textit{M. Lakestani}, Numer. Methods Partial Differ. Equations 25, No. 4, 931--938 (2009; Zbl 1169.65102)

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### References:

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