Numerical Solution of 3rd order ODE Using FDM: On a Moving Surface in MHD Flow of Sisko Fluid

Authors

Manisha Patel, Sarvajanik College of Engineering &Technology
Jayshri Patel, Smt S. R. Patel Engg. College
M. G. Timol, Veer Narmad South Gujarat University

Abstract

A Similarity group theoretical technique is used to transform the governing nonlinear partial differential equations of two dimensional MHD boundary layer flow of Sisko fluid into nonlinear ordinary differential equations. Then the resulting third order nonlinear ordinary differential equation with corresponding boundary conditions is linearised by Quasi linearization method. Numerical solution of the linearised third order ODE is obtained using Finite Difference method (FDM). Graphical presentation of the solution is given.

Recommended Citation

Patel, Manisha; Patel, Jayshri; and Timol, M. G. (2019). Numerical Solution of 3rd order ODE Using FDM: On a Moving Surface in MHD Flow of Sisko Fluid, Applications and Applied Mathematics: An International Journal (AAM), Vol. 14, Iss. 1, Article 18.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/18