Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation

Mohamed M. S. Nasser

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:213296

DOI: 10.1155/2014/213296

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