Numerical solution of the Abel integral equation: application to plasma spectroscopy
- 21 February 1978
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 11 (3) , 209-215
- https://doi.org/10.1088/0022-3727/11/3/006
Abstract
A direct interpolation method using spline functions is suggested for the inversion of the Abel integral equation. The continuous derivatives of these functions allow a better resolution of the first derivative involved in the integral. The exact calculation of the integral is presented for a polynomial of degree p. The method is easy to apply: the programme presented is very short and the results are very accurate.Keywords
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