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Application of the Laplace Decomposition Method to Nonlinear Homogeneous and Non-Homogenous Advection Equations
Journal article   Peer reviewed

Application of the Laplace Decomposition Method to Nonlinear Homogeneous and Non-Homogenous Advection Equations

Yasir Khan and Francis Austin
Zeitschrift für Naturforschung. A, A journal of physical sciences, Vol.65(10), pp.849-853
01/10/2010
DOI: https://doi.org/10.1515/zna-2010-1011

Abstract

Adomian Polynomials Laplace Decomposition Method Nonlinear Advection Equation
In this paper, we apply the Laplace decomposition method to obtain series solutions of nonlinear advection equations. The equations are Laplace transformed and the nonlinear terms are represented by Adomian polynomials. The results are in good agreement with those obtained by the Adomian decomposition method and the variational iteration method but the convergence is faster.

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