Iteration method for the solution of an integral equation close to the Abel equation

Details Iteration method for the solution of an integral equation close to the Abel equation Iteration method for the solution of an integral equation close to the Abel equation

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977velen.......71s&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Jan. 1977, p. 71-76. In Russian.

Astronomy and Astrophysics

Astrophysics

Abel Function, Density Measurement, Galactic Rotation, Iterative Solution, Numerical Integration, Astrophysics, Space Density

Scientific paper

An algorithm is developed for solving a first-order Abel-type integral equation in the framework of the problem of determining the density of galactic matter from measurements of galactic rotational velocity. The algorithm involves regularization of the problem, and an estimate of the accuracy of the solution, in dependence on the level of the measurement error, is given.

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