## Numerical solution of the one-dimensional wave equation with an integral condition.(English)Zbl 1112.65097

Summary: The hyperbolic partial differential equation with an integral condition arises in many physical phenomena. In this research a numerical technique is developed for the one-dimensional hyperbolic equation that combines classical and integral boundary conditions. The proposed method is based on a shifted Legendre tau technique. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.

### MSC:

 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 35L05 Wave equation
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### References:

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