A rational basis for second-kind Abel integral equations

DOI10.1016/0377-0427(91)90089-3zbMath0731.65118OpenAlexW2057512913MaRDI QIDQ808209

D. Eyre, Shirley Abelman

Publication date: 1991

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(91)90089-3

zbMATH Keywords

performancerational interpolationtest problemsproduct integration methodnonsmooth solutionsrational basissecond kind Abel integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Complexity and performance of numerical algorithms (65Y20)

Related Items

An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables, A reliable technique for solving the weakly singular second-kind Volterra-type integral equations, Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations, Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

Cites Work

• A nonlinear Volterra equation arising in the theory of superfluidity
• A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution
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• A Galerkin method using rational basis functions
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• Uniform Error Estimates of Galerkin Methods for Monotone Abel-Volterra Integral Equations on the Half-Line
• Collocation Methods for Weakly Singular Second-kind Volterra Integral Equations with Non-smooth Solution
• High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
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