An Approximate Solution of Blasius Problem Using Spectral Method

Abstract

Nearly all of the real world problems are non-linear in nature and they are coded in the language of non-linear differential equations. To find the exact solutions of these problems are usually impossible. So, we direct our attention towards finding the approximate solutions of these equations. This thesis aims at finding the analytical solution of a classical Blasius flat plate problem, non-linear problem, using spectral collocation method. This technique is based on Chebyshev pseduspectral approach that reduced the solution to the solution of a system of algebraic equations. The implementation of this method is carried out in Mathematica and its validity is ensured by comparing it with a built in MATLAB numerical routine called bvp4c. The graphical and tabular representation of the problem is also presented in order to get an insight into the problem.