Title :
Method of degenerate kernels for solution of two-dimensional non-linear Hammerstein integral equations, arising in antenna synthesis problems
Author_Institution :
Inst. of Appl. Problems of Mechanics & Mathematics, NASU, Lviv, Ukraine
Abstract :
The generalization of degenerate kernels method, utilized for solution of linear integral equations in the case of non-linear Hammerstein equations, using the finite number of kernel eigenfunctions, is given. The convergence of solution of the approximate equation to the solution of the exact equation is substantiated.
Keywords :
antenna radiation patterns; antenna theory; convergence of numerical methods; eigenvalues and eigenfunctions; integral equations; nonlinear equations; degenerate kernels; exact equation; kernel eigenfunctions; nonlinear Hammerstein integral equations; solution convergence;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2003. DIPED 2003. Proceedings of 8th International Seminar/Workshop on
Conference_Location :
Lviv, Ukraine
Print_ISBN :
966-02-2888-0
