Analytical investigation of steady three-dimensional problem of condensation film on inclined rotating disk by Akbari-Ganji's methodAnalytical investigation of steady three-dimensional problem of condensation film on inclined rotating disk by Akbari-Ganji's methodretain-->

Investigation of Three-Dimensional Condensation Film Problem over an Inclined Rotating Disk Using a Nonlinear Autoregressive Exogenous Model

“…The mean percentage error in the approximate solutions by the NARX-BLM algorithm are 0.0000180%, 0.000084%, 0.0000135%, 0.000075%, respectively. These facts demonstrates the accuracy of the solutions when compared with state-of-the-art techniques, such as homotopy perturbation method [ 9 ], differential transformation method (DTM) [ 15 ] , and Akbari–Ganji's method [ 19 ]. The sensitivity analysis of the design algorithm in terms of different activation functions (Log-Sigmoid and Tangent Hyperbolic) and for different number of hidden neurons ( n ) in the NARX structure are shown in Tables 3 and 4 .…”

“…[ 7 ] using the similarity transformation and solving the problem using the perturbation method. Several other techniques are used to solve the condensation film problem, such as homotopy analysis method (HAM) [ 8 ], homotopy perturbation method (HAM) [ 9 , 10 ], classical Runge–Kutta and shooting method [ 11 ], extended optimal homotopy asymptotic method (EOHAM) [ 12 ], variational iteration method (VIM) [ 13 ], control volume finite element method (CVFEM) [ 14 ], differential transformation method (DTM) [ 15 ], spectral quasi linearization method (SQLM) [ 16 ], optimal homotopy analysis method (OHAM) [ 17 ], variation of parameter method (VPM) [ 18 ], and Akbari-Ganji method (AGM) [ 19 ].…”

Numerical analysis on the heat and mass transfer MHD flow characteristics of nanofluid on an inclined spinning disk with heat absorption and chemical reaction

“…Nanoparticles are thermally stable in their host fluid, and slippage does not occur. Following Wang and coauthors, [38][39][40][41][42][43][44][45][46][47] the fundamental leading equations for the flow are as follows:…”

Approximations for the Concentration and Effectiveness Factor in Porous Catalysts of Arbitrary Shape: Taylor Series and Akbari-Ganji’s Methods

“…In addition, some serious drawbacks come along with numerical solutions, such as achieving numerical stabilities and the difficulty of adjusting parameters to match the numerical data [16]. Of the most used analytical methods, we mention the homotopy perturbation method [17,18], homotopy analysis method [19], variational iteration method [20], Akbari-Ganji's method [21], Green's function method [22], Adomian decomposition method [23], and Taylor series method [24].…”

“…The Akbari-Ganji's method (AGM) has also been utilized for deriving semi-analytic solutions of nonlinear models. For example, Berkan [21] used AGM to study the steady three-dimensional problem of condensation film on an inclined rotating. Nirmala et al [31] derived the steady-state substrate and product concentrations for non-Michaelis-Menten kinetics in an amperometric biosensor using the hyperbolic function method, which is a particular case of the Akbari-Ganji method.…”