Study of the Convergence of the Laplace-Adomian Method Applied to the Telegraph Equation with Non-linearity and Source Term
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i2.7731Keywords:
Telegraph equation, Laplace transform, Laplace-Adomian method.Abstract
In this article, we study the convergence of the Laplace Adomian algorithm applied to the telegraph equation with a nonlinearity and a source term. To this end, we review some definitions and properties that enable us to establish the convergence proof, then we present a description of the method, followed by the convergence proof, and finally we propose an application of the algorithm.
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Copyright (c) 2026 Youssouf Minoungou, Bagayogo Moussa, Ouedraogo W. Herve, Youssouf Pare
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