Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix
Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix作者机构：不详
出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)
年 卷 期：2011年第1卷第4期
页 面：226-234页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Abel Inversion Bernstein Polynomials Almost Bernstein Operational Matrix Of Integration Noise Resistance
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.
维普期刊数据库