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In the present work, the Adomain decomposition and double Laplace transform methods are combined to solve linear singular one dimensional hyperbolic equation and linear singular one dimensional thermo-elasticity coupled system. Also we address the convergence of double Laplace transform decomposition method. Moreover, some examples are given to establish our method .

Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system