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Yayın Solving advection equation using the natural decomposition method(Maltepe Üniversitesi, 2019) Saelao, Jeerawan; Kamdee, KhanitthaIn this paper, the natural decomposition method (NDM) is used to find an exact solution of non-linear homogeneous and nonhomogeneous advection equation. The Adomian decomposition method is the basis of natural decomposition method. The theoretical analysis of the natural decomposition method is investigated for some equation and calculated with easily computation terms. The results are compared with other method. The evident has illustrated that this method is easy and efficient.