Abstract
In this paper, a numerical algorithm proposed by composing the Aboodh transform (AT) and Adomian decomposition method (ADM) and it has been named (ATADM). This algorithm is tested for solving some models of nonlinear problems. The modification gives robust tool for large size of enumerations. The obtained results of comparing approximate solution with exact solution for this scheme appeared high accuracy and efficiency for solving nonlinear problems.
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