Abstract In this paper we derive and study a nonlinear boundary integral equation for calculating the boundary value of the conformal mapping from a starlike simply connected region G onto another starlike simply connected region Ω. The integral equation can be interpreted as a generalization of the classical Theodorsen integral equation. Numerical results are presented to illustrate the performance of the proposed method.
Advances in Pure and Applied Mathematics – de Gruyter
Published: Mar 1, 2010