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<p>The Liao optimal method of homotopy analysis was compared with the Marinca–Herisanu optimal homotopy analysis method by the example of solving two test problems on nonlinear heat transfer. This comparison has shown that the solutions obtained using the Liao method are either practically identical to the solutions obtained by the Marinca–Herisanu method or are substantially more exact. Moreover, the obtaining of solutions with the use of the Marinca–Herisanu method is highly labor-intensive and requires much more time as compared to the Liao method.</p>

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Marinca–Herisanu Optimal Homotopy Asymptotic Method as an Unsuccessful Modification of the Liao Homotopy Analysis Method: Nonlinear Heat Transfer

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • V. A. Kot

摘要

The Liao optimal method of homotopy analysis was compared with the Marinca–Herisanu optimal homotopy analysis method by the example of solving two test problems on nonlinear heat transfer. This comparison has shown that the solutions obtained using the Liao method are either practically identical to the solutions obtained by the Marinca–Herisanu method or are substantially more exact. Moreover, the obtaining of solutions with the use of the Marinca–Herisanu method is highly labor-intensive and requires much more time as compared to the Liao method.