Interpolant Method in Analyzing the Laser-Induced Plasma Spectroscopy
Jieer Wu,
Yu Zhou,
Wenchen Luo
et al.
Abstract:A numerical algorithm that effectively solves the Abel integral equation in laser-induced plasma spectroscopy is introduced. The proposed algorithm utilizes a barycentric interpolation and a collocation method with second-kind Chebyshev nodes. This approach reduces the Abel integral equation to a linear system of equations, resulting in efficient approximate solutions. Analytical studies provide an error estimation for the proposed method, which further validates its effectiveness. Through numerical experiment… Show more
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