Open AccessSolution of Integral Equation in Two-Dimensional using Spectral Relationships
Author(s) -
F. M. Alharbi
Publication year - 2020
Publication title -
global journal of computer science and technology
Language(s) - English
Resource type - Journals
ISSN - 0975-4172
DOI - 10.34257/gjsfrfvol20is2pg1
Subject(s) - integral equation , maple , chebyshev filter , compact space , chebyshev polynomials , algebraic number , algebraic equation , computer science , mathematics , integral transform , mathematical analysis , nonlinear system , physics , botany , quantum mechanics , biology
This paper concerned using spectral relationships in the solution of the integral equation (IE) in two-dimensional. To discuss that, the (IE) in two-dimensional under certain conditions was considered. The existence of at least one solution of the (IE) was discussed by proving the continuity and compactness of an integral operators. Chebyshev polynomials of the first kind were used to transform the (IE) to a linear algebraic system. Many numerical results and estimating errors were calculated and plotted by the Maple program in different cases.