Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials
The paper aims to present an approximate method for the solution of some singular integro-differential equations. The idea is to express the solutions to the equation as a sum of Faber-Laurent polynomials and to use a truncated sum as an approximation. The paper provides both a theoretical justification of the approach and a numerical technique for the method of reduction over the Faber-Laurent polynomials.
scientific article; zbMATH DE number 2170255