Numerical Solutions of Singular Fredholm Equations
- 1 September 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (9) , 1743-1748
- https://doi.org/10.1063/1.1705087
Abstract
A singular Fredholm equation of the second kind is solved numerically by a Fourier seriesanalysis in which the singularity is removed naturally, and by a Gaussian quadrature procedure in which the singularity was eliminated by an approximation using the law of the mean. In addition, an analytic solution of an associated Fredholm equation of the first kind was used for comparison with the numerical results. Some properties of these numerical solutions are indicated, and a brief discussion of the errors is given.Keywords
This publication has 8 references indexed in Scilit:
- Intrinsic Viscosity of Coiling MacromoleculesThe Journal of Chemical Physics, 1964
- Additional abscissas and weights for Gaussian quadratures of high order: Values for n=64, 80, and 96Journal of Research of the National Bureau of Standards, 1958
- Abscissas and weights for Gaussian quadratures of high orderJournal of Research of the National Bureau of Standards, 1956
- Solution of the Kirkwood-Riseman Integral Equation in the Asymptotic LimitThe Journal of Chemical Physics, 1955
- Note on Singular Integral Equations of the Kirkwood-Riseman TypeThe Journal of Chemical Physics, 1955
- Errata: The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in SolutionThe Journal of Chemical Physics, 1954
- The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in SolutionThe Journal of Chemical Physics, 1948
- The Approximate Solution of Singular Integral Equations Arising in Engineering PracticeProceedings of the American Academy of Arts and Sciences, 1941