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Iterative algorithms for processing experimental data

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Abstract

The need to solve linear and nonlinear integral equations arise, e.g., in recovering plasma parameters from the data of multichannel diagnostics. The paper presents an iterative method for solving integral equations with a singularity at the upper limit of integration. The method consists in constructing successive approximations and calculating the integral by quadrature formulas in each integration interval. An example of application of the iterative algorithm to numerically solve an integral equation similar to those arising in recovering the plasma density profile from reflectometry data is presented.

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Authors and Affiliations

  1. Institute of Plasma Physics, National Science Center Kharkiv Institute of Physics and Technology, Akademichna vul. 1, Kharkiv, 61108, Ukraine

    K. K. Tretiak

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  1. K. K. Tretiak
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Correspondence to K. K. Tretiak.

Additional information

Original Russian Text © K.K. Tretiak, 2016, published in Fizika Plazmy, 2016, Vol. 42, No. 10, pp. 903–911.

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Tretiak, K.K. Iterative algorithms for processing experimental data. Plasma Phys. Rep. 42, 947–955 (2016). https://doi.org/10.1134/S1063780X16100081

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  • DOI: https://doi.org/10.1134/S1063780X16100081

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