A new numerical method for a class of Volterra and Fredholm integral equations

被引：7
|
作者：
De Angelis, Paolo [1 ]
De Marchis, Roberto [1 ]
Martire, Antonio Luciano [1 ]
机构：
[1] Univ Roma La Sapienza, Terr & Finance, Dept Methods & Models Econ, Via Castro Laurenziano 9, I-00161 Rome, Italy
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 379卷
关键词：
Quadratic Volterra integral equations; Fredholm integral equations; Monotonic solutions; Mean-value theorem; SUPERPOSITION OPERATOR;
D O I：
10.1016/j.cam.2020.112944
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present work, we introduce a new numerical method based on a strong version of the mean-value theorem for integrals to solve quadratic Volterra integral equations and Fredholm integral equations of the second kind, for which there are theoretical monotonic non-negative solutions. By means of an equality theorem, the integral that appears in the aforementioned equations is transformed into one that enables a more accurate numerical solution with fewer calculations than other previously described methods. Convergence analysis is given. (C) 2020 Elsevier B.V. All rights reserved.
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页数：13
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