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1. Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method.

Author

Kherchouche, Khedidja, Bellour, Azzeddine, and Lima, Pedro

Subjects
*VOLTERRA equations, *COLLOCATION methods, *FREDHOLM equations, *CHEBYSHEV polynomials, *NUMERICAL analysis
Abstract

In this paper, we discuss the application of an iterative collocation method based on the use of Lagrange polynomials for the numerical solution of a class of nonlinear third-kind Volterra integral equations. The approximate solution is given by explicit formulas. The error analysis of the proposed numerical method is studied theoretically. Some numerical examples are given to confirm our theoretical results. [ABSTRACT FROM AUTHOR]

Published
2023
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