Solving Dirichlet Problems With Conformal Mappings
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Date
2018-08-12
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Addis Ababa University
Abstract
In this thesis,given a domain
<n and a function f : @
! < Dirichlet problem
for laplace equation which has the form 8<
:
u = 0 in
; and
u = f on @
is solved by using conformal mapping.
Some Diriclet problems which are di cult to solve in z �� plane were simply solved
by mapping(conformal mapping)in to w �� plane.
The Drichlet problems of argument functions,exponential functions,sine functions and
logarithmic functions were solved by using four-step method of solving Drichlet prob-
lems with conformal mapping in the region
with the prescribed boundary value
problems.
Description
Keywords
Solving Dirichlet Problems, Conformal Mappings, Analytic Functions, Cauchy Rieman Equation