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On the numerical solution of the generalized Prandtl equation using variation-diminishing splines |
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| Authors: | F. Cali , E. Marchetti,P. Rabinowitz |
| Affiliation: | a Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy b Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel |
| Abstract: | Convergence results are proved for Cauchy principal value integrals of the Schoenberg variation-diminishing splines and its first derivative. The use of such splines in the numerical solution of the Prandtl and generalized Prandtl integral equations is proposed. A Nyström-type method and a modified Nyström method are used and compared computationally. |
| Keywords: | Approximating splines B-splines Cauchy principal value Integral equations |
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