Application of double Laplace decomposition method for solving singular one dimensional system of hyperbolic equations


Hassan Eltayeb Gadain - Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.


In this paper, the Adomain decomposition methods and double Laplace transform methods are combined to study linear and nonlinear singular one dimensional system of hyperbolic equations. In addition, we check the convergence of double Laplace transform decomposition method applied to our problems. Furthermore, we illustrate our proposed methods by using some examples.


Double Laplace transform, inverse Laplace transform, system of hyperbolic equations.


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