A method for the numerical resolution of Abel-type integral equations of the first kind

DOI10.1016/0377-0427(88)90003-9zbMath0655.65143OpenAlexW1988113834MaRDI QIDQ1109547

Maria Rosaria Capobianco

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90003-9

zbMATH Keywords

trigonometric interpolationAbel integral equationsproduct quadrature rulesconvergence.

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (3)

Singular expansions and collocation methods for generalized Abel integral equations ⋮ A new proof for the convergence of the trigonometric method for the Abel integral equations of the first kind ⋮ Approximation of function belonging to generalized Hölder's class by first and second kind Chebyshev wavelets and their applications in the solutions of Abel's integral equations

Cites Work

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• A stable recurrence relation for trigonometric B-splines
• Some remarks on uniform asymptotic expansions for Bessel functions
• Stability analysis of product \(\theta\)-methods for Abel integral equations of the second kind
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• A note on a paper by luxemburg concerning the laplace transform
• A property of power series with positive coefficients
• On a recursion formula and on some Tauberian theorems

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