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.