Journal of Applied Mathematics & Bioinformatics

Comparison of Liao’s optimal HAM and Niu’s one-step optimal HAM for solving integro-differential equations

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• Abstract

  In this paper, the Liao’s optimal homotopy analysis method is compared with the Niu’s one-step optimal homotopy analysis method for solving one system of linear Volterra integro-differential equations and one integro-differential equation. The results reveal that the Liao’s optimal HAM has more accuracy to determine the convergence-control parameter than the one-step optimal HAM suggested by Zhao Niu.