We consider a nonlinear integral equation which can be interpreted as a generalization of Theodorsen’s nonlinear integral equation. This equation arises in computing the conformal mapping between simply connected regions. We present a numerical method for solving the integral equation and prove the uniform convergence of the numerical solution to the exact solution. Numerical results are given for illustration.
"Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation." Abstr. Appl. Anal. 2014 (SI41) 1 - 11, 2014. https://doi.org/10.1155/2014/213296