Abstract
This paper describes a collocation method for solving constant coefficient Cauchy-type singular integral equations of index −1. A technique for reducing the set of linear equations resulting from collocation to match the number of unknows is described. The uniform convergence analysis of the resulting method is presented and convergence rates based on the smoothness of the data are given.
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Communicated by S. Seatzu
This work was partially supported by CNPq under grant #300105/88-6(RN).
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Cuminato, J.A. Numerical solution of cauchy-type integral equations of index −1 by collocation methods. Adv Comput Math 6, 47–64 (1996). https://doi.org/10.1007/BF02127695
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DOI: https://doi.org/10.1007/BF02127695