In this paper, the Adomian decomposition method and Laplace transform method are used to construct the solution of a convection-diffusion-dissipation equation.
In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a sequence which tends towards the exact solution of the problem. The solution procedure shows the reliability of the method and is high accuracy evident.
In this paper, we use firstly the Laplace-Adomian method to construct the solution of a kind of Fischer's equation and secondly the SBA method to construct the solution of an integral-differential equation.
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