AbstractAn integral equation method is presented for the quasi three‐dimensional inverse aerofoil and cascade design. Fluid compressibility and vorticity diffusion are introduced by means of sources resp. distribution functions for the boundary vortices. Application of a Taylor development to the kinematical condition, enlarged by an additional source term, leads to a linear equation system for the profile shape and the channel height. Thus, both the velocity distribution and the profile thickness can be prescribed. Several calculations of aerofoil sections and cascades are presented, which illustrate the accuracy and possibilities of the metho