%0 Journal Article
%T Extended power series solution for Perkins-Kern-Nordgren model of hydraulic fracture
%J AUT Journal of Civil Engineering
%I Amirkabir University of Technology
%Z 2588-2899
%A Asgari, Ali
%D 2022
%\ 12/01/2022
%V 6
%N 4
%P 461-468
%! Extended power series solution for Perkins-Kern-Nordgren model of hydraulic fracture
%K Extended Power Series
%K Nonlinear equation
%K Perkins-Kern-Nordgren model
%K hydraulic fracture.
%R 10.22060/ajce.2023.19737.5814
%X The extended Power Series (XPS) method can be extremely useful for solving nonlinear equations with regular and irregular singular points. The extended power series is considered times a logarithm or times a fractional power of x, etc.). This research shows it is simple to solve approximately the Perkins-Kern-Nordgren (PKN) model of hydraulic fracture. To illustrate the effectiveness and convenience of the XPS method, we consider the two cases of dimensionless PKN equation containing the M-scaling and -scaling. The results compared with available analytical results verified excellent agreements.
%U https://ajce.aut.ac.ir/article_5186_fe91f2df4a1e331f4cc4375ee3ae62da.pdf