APPROXIMATE SOLUTION OF ONE EQUATION IN WING THEORY USING METHOD FOR ASYMPTOTIC POLYNOMIALS

Abstract

The method for asymptotic polynomials has been applied to an equation in wing theory which is described with the help of a singular integro-differential equation. An approximate solution is based on the use of the Chebyshev polynomials of the second kind. Similar solutions were known previously for the spaces C and L2. The paper presents an effective error estimates for the space C, allowing to calculate an error at any point in the reporting period and to determine an extent of the desired polynomial, which will approximate the exact solution in accordance with the given accuracy.