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In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. To see the accuracy of the method, L 2 and L ∞ error norms are calculated.doi:10.4236/apm.2013.31a022 fatcat:6qnj6k2winahvp332icapj3iji