Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method

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Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics (2011, background): “(2005), Kawahara and Tanaka (1983), Nucci and Clarkson (1992), Li and Guo (2006), Abbasbandy (2008b) and Dehghan and Fakhar-Izadi (2009).”
Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, methodology): “It is worth to point out that HAM successfully applied to partial differential equations and extended by authors [11, 12, 33, 62–64] to solve different types of nonlinear partial differential equations [65].”
On heat and mass transfer in the unsteady squeezing flow between parallel plates (2012, methodology): “Thus it seems a worthwhile attempt to compute an analytic solution for such a problem by homotopy analysis method (HAM) [16–23].”
An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials (2015, methodology): “For more details about the applications of the method, the reader is advised to consult the research works presented in [7–36] or the references therein.”