Indian Journal of Industrial and Applied Mathematics
  • Year: 2017
  • Volume: 8
  • Issue: 2

Finite Difference Method on Third-order Non-linear Differential Equation: Magneto Hydrodynamic Flow of Sisko Fluid

  • Author:
  • Jayshri Patel1,, Hemangini Shukla2,, Manisha Patel3,, Hema C. Surati4, M.G. Timol5,
  • Total Page Count: 10
  • Published Online: Dec 1, 2017
  • Page Number: 191 to 200

1Assistant Professor, Department of Mathematics, Smt S. R. Patel Engg. College, Dabhi Unjha-384170, Gujarat, India

2Assistant Professor, Department of Mathematics, Government Engineering College, Gandhinagar, Gandhinagar-382028, Gujarat, India

3Assistant Professor, Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat-395001, Gujarat, India

4Assistant Professor, Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat-395001, Gujarat, India

5Assistant Professor, Department of Mathematics, Veer Narmad South Gujarat University, Magdalla Road, Surat-395007, Gujarat, India

*(Corresponding Author) E-mail-Id: manishapramitpatel@gmail.com

**jvpatel25@gmail.com

***hsshukla94@gmail.com

****mgtimol@gmail.com

Abstract

An effective group theoretical technique is applied to transform the governing partial differential equations of steady two-dimensional MHD (Magneto Hydro Dynamic) boundary layer flow of non-Newtonian fluid. Sisko fluid model is considered for the stress–strain relationship. The obtained third-order nonlinear ordinary differential equation with appropriate boundary conditions is linearised by quasi-linearisation method. Finite difference method is then applied for the numerical and graphical presentation on the third-order ODE (ordinary differential equation).

Keywords

Group theory, MHD flow, Sisko fluid model, Flat plate, Finite difference method, Quasi-linearisation, MATLAB, 65L99, 76A05, 76D05, 76D10, 76W05