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Inversion of the Abel Integral Equation by Use of Simple Interpolation Formulas
Author(s) -
Sato M.
Publication year - 1985
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19850250605
Subject(s) - bessel function , interpolation (computer graphics) , integral equation , mathematics , simple (philosophy) , inversion (geology) , mathematical analysis , computer science , paleontology , philosophy , epistemology , structural basin , animation , computer graphics (images) , biology
The Abel integral equation in plasma spectroscopy is numerically solved by applying the Bessel four‐point interpolation formula of degree two. The method is mathematically tractable, simplifying the Bockasten method. Tests through numerical simulations show that the method is as accurate as more elaborate methods, such as Bockasten, Minerbo‐Levy, Piessens, etc.