Inversion of the Abel Integral Equation by Use of Simple Interpolation Formulas

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.