Abstract:
Conformal mapping is extremely important in complex analysis as well as in
many areas of physics and engineering.
Our main goal in this thesis is to present a successful application of conformal
transformations in solving boundary value problems. conformal transformation has
been used to generate orthogonal curvilinear coordinates for solving various problems
in simply connected regions. Consequently, if one is solving an elliptic boundary
value problem, an appropriate conformal mapping could be used simultaneously to fit
the boundary curves with coordinate lines and simplify the original partial differential
equation.
