... for this problem are obtained through the application of the homotopy analysis method and via a fractional basis. Variations for velocity and temperature profiles with the change of the suction/blowing, rotational, and magnetic parameters are studied. References 1 Aldoss , T. K. , Ali , Y. D...

... reduces the computational efforts but also presents an easy to implement task of application of the homotopy analysis method to the Duffing–van der Pol equation. The explicit analytical expressions obtained using the proposed approach generates the displacement, amplitude, and frequency of the limit cycle...

...-infinite stretching flat sheet are transformed into a partial differential equation with variable coefficients. An analytic technique for highly nonlinear problems, namely, the homotopy analysis method, is applied to give convergent analytical approximations, which agree well with the numerical results...

... analysis second grade fluid analytic solution homotopy analysis method Exact solutions of the Navier–Stokes equations with nonvanishing nonlinear terms can only be obtained in a small number of cases. Each such solution is of considerable methodological interest, even though not always of great...

...Yue Tan; Shi-Jun Liao An analytic technique, namely the homotopy analysis method, is applied to solve the Navier–Stokes equations governing unsteady viscous flows due to a suddenly stretching surface in a rotating fluid. Unlike perturbation methods, the current approach does not depend upon any...