Using the Adomian decomposition method (ADM), we present in this paper a numerical approximation of the solution of the nonlinear KDV equation. The principal task concerns essentially the computation of the Adomian polynomials for this type of equation and thereafter determining a significant criterion to ensure the conditions for convergence of the method.

Based on previous works, especially [1] and [2], we try in the present contribution to study some new aspects of the numerical solution of the KdV equation through the standard Adomian Decomposition Method. The use of the multistage Adomian Decomposition Method, applied to this equation, will be presented and discussed.

In recent years, energy debates are increasingly focused on the transition of more ecological energy sources, therefore, Morocco is projecting to invest in its first Liquified Natural Gas (LNG) importing and storage capacity by 2030. This article comes to establish a pre-feasibility study for the future importation terminal and the objective is to develop a scientific approach to investigate the financial viability of such a project. The main challenge poses on the data estimation methodology and the relevance of the assumptions. Besides, the level of uncertainty depends on the stability of the LNG international market. The profitability of an investment is generally the most important criterion for the decision-making. Even if the combined ecological and industrial benefits of natural gas can sometimes provide enough motivation to invest, a long-term profitability study must be systematically pursued to evaluate the economic impact of such an investment decision. After highlighting the multiple benefits of natural gas, the first step is setting up the financial model to be adopted, which is in this case the net present value (NPV) and the Discounted Payback. Therefore, operating and financial assumptions are made based on the benchmark with other similar projects. The prefeasibility study will help to measure the LNG terminal capacity to generate revenue.