Approximate Solution of a Complete Singular Integral Equation of the First Kind with a Fixed Hypersingularity by the Overlapping Method

摘要

We suggest a new method for the numerical solution of a singular integral equation of the first kind with a fixed hypersingularity, which arises in the problem on the flow past a profile with an ejector of the external flow. This method permits one to obtain a solution of the characteristic and complete integral equations with an interpolation degree of accuracy.