The numerical treatment of hypersingular integral equations
The numerical treatment of hypersingular integral equations
The authors formulate convergence results for collocation and discrete collocation methods for integro-differential equations of Prandtl's type in weighted Sobolev spaces and in weighted spaces of continuous functions. Numerical experiments for two equations confirm the predicted convergence rates.
Integro-ordinary differential equations, convergence, integro-differential equations of Prandtl's type, collocation methods, polynomial collocation, Numerical methods for integral equations, numerical experiments, quadrature methods, weighted Sobolev spaces, Prandtl's type equations
Integro-ordinary differential equations, convergence, integro-differential equations of Prandtl's type, collocation methods, polynomial collocation, Numerical methods for integral equations, numerical experiments, quadrature methods, weighted Sobolev spaces, Prandtl's type equations
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