Reduced Boundary Integral Equation for the Laplace, Poisson and Helmholtz Equations in Annular Region

摘要

Boundary integral model corresponding to the Laplace, Poisson and Helmholtz equations for circular and annular regions was considered in the paper. By expanding the excitation and the solution into the Fourier series, the problem is reduced to purely algebraic for each angular harmonic. An example of use of the reduced boundary integral equation is given. As a kind of by-product, some definite integrals were found.