Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/213296 |
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| _version_ | 1832562655042207744 |
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| author | Mohamed M. S. Nasser |
| author_facet | Mohamed M. S. Nasser |
| author_sort | Mohamed M. S. Nasser |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-114aaa6b1dc14011b04ba41530b15aa8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-114aaa6b1dc14011b04ba41530b15aa82025-02-03T01:22:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/213296213296Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral EquationMohamed M. S. Nasser0Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2014/213296 |
| spellingShingle | Mohamed M. S. Nasser Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation Abstract and Applied Analysis |
| title | Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation |
| title_full | Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation |
| title_fullStr | Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation |
| title_full_unstemmed | Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation |
| title_short | Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation |
| title_sort | convergence of numerical solution of generalized theodorsen s nonlinear integral equation |
| url | http://dx.doi.org/10.1155/2014/213296 |
| work_keys_str_mv | AT mohamedmsnasser convergenceofnumericalsolutionofgeneralizedtheodorsensnonlinearintegralequation |