Derivation of the Adomian decomposition method using the homotopy analysis method

Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheet

“…This method is a reliable analytical tool and it has already been applied to several interesting problems [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It contains the frequently used analytical tools, namely, homotopy perturbation method (HPM) [23], -expansion method and adomian decomposition method [31].…”

Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems

“…[17][18][19][20][21]. In particular, the HAM was employed for solving the Blasius viscous flow problems [22], nonlinear problems [23], generalized Hirota-Satsuma coupled KdV equation [24], non-homogeneous Blasius problem [25], unsteady boundary-layer flows over a stretching flat plate [26], decaying boundary layers as limiting cases of families of algebraically decaying ones [27], thin flim flow of non-Newtonian fluids on a moving belt [28] and derivation of the Adomian decomposition method [29].…”

Similar solutions of stretching flow with mass transfer

“…This Figure shows that the admissible values of h f is −0.6 h f −0.1 and h is −0.65 h −0.2. The series (33) and (34) converge in the whole region of when h f = h =−0.3. Table I is made just to decide that how much order of approximation are necessary for a convergent solution.…”