Convergence of numerical solution of generalized Theodorsen's nonlinear integral equation (Q1722352)

From MaRDI portal





scientific article; zbMATH DE number 7021937
Language Label Description Also known as
English
Convergence of numerical solution of generalized Theodorsen's nonlinear integral equation
scientific article; zbMATH DE number 7021937

    Statements

    Convergence of numerical solution of generalized Theodorsen's nonlinear integral equation (English)
    0 references
    0 references
    14 February 2019
    0 references
    Summary: 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.
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references