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W. E. Milne, “Numerical Solution of Differential Equa tion,” Dover Pub., Dover, 1970.

has been cited by the following article:

• TITLE: Numerical Solution for a Similar Flow between Two Disks in the Presence of a Magnetic Field

  AUTHORS: Sajjad Hussain, Muhammad Anwar Kamal, Farooq Ahmad, Muhammad Ali, Muhammad Shafique, Sifat Hussain

  KEYWORDS: Numerical Solution; Similar Flow; Newtonian Fluid; Magnetic Field; Reynold’s Number

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, July 30, 2013

  ABSTRACT: Numerical solutions are obtained for non-steady, incompressible fluid flow between two parallel disks which at time t are separated by a distance H(1－αt)1/2 and a magnetic field proportional to B0(1－αt) -1/2 is applied perpendicular to the disks where H denotes a representative length, BO denotes a representative magnetic field and α-1 denotes a representative time. Similarity transformations are used to convert the governing partial differential equations of motion in to ordinary differential form. The resulting ordinary differential equations are solved numerically using SOR method, Richardson extrapolation and Simpson’s (1/3) Rule. Our numerical scheme is straightforward, efficient and easy to program.