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12 November 2024 Numerical solution of Volterra integral equation with piecewise intervals by iterative method
Keyan Wang
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Proceedings Volume 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) ; 133952H (2024) https://doi.org/10.1117/12.3049020
Event: International Conference on Optics, Electronics, and Communication Engineering, 2024, Wuhan, China
Abstract
In this paper, an iterative method is introduced to approximate the solution of nonlinear Volterra integral equation with piecewise intervals. Firstly, we transform the nonlinear integral equation into a system of nonlinear algebraic equations and then proceed to solve these equations. We consider certain conditions of the integral equation and study the convergence analysis of iterative method. A numerical example is provided to confirm the reliability and accuracy of the proposed method.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Keyan Wang "Numerical solution of Volterra integral equation with piecewise intervals by iterative method", Proc. SPIE 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) , 133952H (12 November 2024); https://doi.org/10.1117/12.3049020
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KEYWORDS
Iterative methods
Numerical analysis
Complex systems
Matrices
Interpolation
Mathematics
MATLAB
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