A numerical method for solving systems of hypersingular integro-differential equations

Abstract

. This paper is concerned with a collocation-quadrature method for solving systems of Prandtl’s integro-differential equations based on de la Vallée Poussin filtered interpolation at Chebyshev nodes. We prove stability and convergence in Hölder-Zygmund spaces of locally continuous functions. Some numerical tests are presented to examine the method’s efficacy.