SOLVABILITY THE TELEGRAPH EQUATION WITH PURELY INTEGRAL CONDITIONS

Year 2013, Volume: 3 Issue: 1, 117 - 125, 01.06.2013

A. Merad A. Bouziani

Abstract

In this paper a numerical technique is developed for the one-dimensional telegraph equation, we prove the existence, uniqueness, and continuous dependence upon the data of solution to a telegraph equation with purely integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution by using a simple and efficient algorithm for numerical solution.

Keywords

Telegraph equation, purely integral conditions, a priori estimates, Laplace

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