Hypersingular Integral Equations of Prandtl's Type: Theory, Numerical Methods, and Applications
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DOI: 10.3390/axioms11120705
Abstract: In this paper, we propose and justify a spline-collocation method with first-order splines for approximate solution of nonlinear hypersingular integral equations of Prandtl’s type. We obtained the estimates of the convergence rate and the method… read more here.
Keywords: hypersingular integral; type theory; equations prandtl; prandtl type ... See more keywords
Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations
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DOI: 10.3390/axioms9030074
Abstract: We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides. We investigate hypersingular integral equations with second order singularities. Today, hypersingular integral equations… read more here.
Keywords: linear nonlinear; method; nonlinear hypersingular; hypersingular integral ... See more keywords