SOLUTION OF BOUNDARY PROBLEMS FOR THE LAPLACE EQUATION BY THE METHOD OF CONFORMING GRIDS,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
Pagination or Media Count:
The solution of linear and nonlinear boundary-value problems for a two-dimensional Laplace equation with a curvilinear boundary is considered, using the theory of conformal mapping and the method of lines. The determination of the unknown arbitrary constants is reduced to the solution of a system of linear equations. The solution by the use of the obtained family of straight lines in the plane corresponds to the solution using the one-parameter family of curves. It is pointed out that such boundary value problems are encountered in physicochemical hydrodynamics. As an illustration of the method presented, the calculation of the current distribution in an electrolytic cell having the form of the annular sector and with isolated walls is presented.
- Theoretical Mathematics