MARINCA–HERISANU OPTIMAL HOMOTOPY ASYMPTOTIC METHOD AS AN UNSUCCESSFUL MODIFICATION OF THE LIAO HOMOTOPY ANALYSIS METHOD: NONLINEAR HEAT TRANSFER

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.

Author:  V. A. Kot
Keywords:  nonlinear differential equations, approximate solution, nonlinear heat transfer, optimal method of homotopy analysis, optimal homotopy asymptotic method
Page:  1201