jaem

TWMS Journal of Applied and Engineering Mathematics

2146-1147 2587-1013

Işık University Press

SOLVABILITY THE TELEGRAPH EQUATION WITH PURELY INTEGRAL CONDITIONS

Merad

Department of Mathematics, Faculty of Sciences, Larbi Ben M’hidi University, Oum El Bouaghi, 04000, ALGERIA Bouziani

Department of Mathematics, Faculty of Sciences, Larbi Ben M’hidi University, Oum El Bouaghi, 04000, ALGERIA

06 01 2013

3 1 117 125

2010

TWMS Journal of Applied and Engineering Mathematics

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.

Telegraph equation purely integral conditions a priori estimates Laplace

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