For the numerical solution of the hypersingular integral equation of a notched half plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods.
The numerical solution of strongly singular integral equation of a notched half plane problem
Capobianco MR;
2007
Abstract
For the numerical solution of the hypersingular integral equation of a notched half plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods.File in questo prodotto:
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