期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2011
卷号：1
期号：4
页码：226-234
DOI：10.4236/ajcm.2011.14026
出版社：Scientific Research Publishing
摘要：A direct almost Bernstein operational matrix of integration is used to propose a stable algorithm for numerical inversion of the generalized Abel integral equation. The applicability of the earlier proposed methods was restricted to the numerical inversion of a part of the generalized Abel integral equation. The method is quite accurate and stable as illustrated by applying it to intensity data with and without random noise to invert and compare it with the known analytical inverse. Thus it is a good method for applying to experimental intensities distorted by noise.
关键词：Abel Inversion; Bernstein Polynomials; Almost Bernstein Operational Matrix Of Integration; Noise Resistance
