NUMERICAL SOLUTION OF THE VOLUMETRIC SINGULAR INTEGRAL EQUATION BY COLLOCATION METHOD

Medvedik Mikhail Yuryevich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, _medv@mail.ru
Smirnov Yury Gennadyevich, Doctor of physico-mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University, smirnovyug@mail.ru

517.9

Numerical collocation method for solving singular integro-differential equation on dielectric body located in rectangular waveguide is considered. Inverse electromagnetic boundary value problem for determination of effective permittivity of the body is also considered. The formulas of matrix coefficients for collocation method are presented. Numerical results for solution of singular integro-differential equation by collocation method as well as numerical results for determination of ef-fective permittivity of the body in waveguide are presented.

inverse electromagnetic boundary value problem, electromagnetic scattering, integro-differential equation, collocation method.