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R. P.Agarwal and D. O’Regan, “Ordinary and Partial Differential Equations,” Springer, New York, 2009.

has been cited by the following article:

• TITLE: The Construction Method for Solving Radial Flow Problem through the Homogeneous Reservoir

  AUTHORS: Shunchu Li, Wei Li, Xiaoping Li, Li Xu

  KEYWORDS: Differential Equation; Fluid Flow in Porous Media; Boundary Value Problem; Construction Method; Similar Structure; Radial Flow; Homogeneous Reservoir

  JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 21, 2012

  ABSTRACT: On the basis of similar structure of solutions of ordinary differential equation (ODE) boundary value problem, the similar construction method was put forward by solving problems of fluid flow in porous media through the homogeneous reservoir. It is indicate that the pressure distribution of dimensionless reservoir and bottom hole in Laplace space, which take on the radial flow, also shows similar structure, and the internal relationship between the above solutions were illustrated in detail.