Numerical Solution of Falkner-Skan equation using non-polynomial Quartic Spline Technique.

In this work, we investigate the boundary layer flow suggested by the Falkner-Skan equation for different flow parameters. Using a stream function, the Falkner-Skan equation has been converted into a strongly nonlinear third order ordinary differential equation. To solve the obtained differential equation, we construct an efficient numerical algorithm based on nonpolynomial quartic spline function. Skin friction co-efficent has also been calculated. Finally, to validate the theoretical results obtained and to show the applicability of our constructed algorithm, we have carry out numerical experiments for various parameters with the help of graphs and tables. [ABSTRACT FROM AUTHOR]