基于贝塞尔多项式的第二类非线性Volterra积分方程的改进配置解法
An Improved Collocation Method for the Second Kind of Nonlinear Volterra Integral Equation Based on Bessel Polynomials
DOI: 10.12677/AAM.2021.105159, PDF,    科研立项经费支持
作者: 王斌斌, 曾 光*：东华理工大学理学院，江西 南昌；东华理工大学科学与工程计算实验室，江西 南昌；雷 莉, 黄丝引, 熊 晗：东华理工大学理学院，江西 南昌
关键词: 贝塞尔多项式；非线性Volterra积分方程；配置法；收敛性分析；The Bessel Polynomials； Nonlinear Volterra Integral Equations； Collocation Method； Convergence Analysis
摘要: 本文提出了一种基于贝塞尔多项式的第二类非线性Volterra积分方程的配置解法，并对该方法进行了误差和收敛性分析。通过数值实例验证了该方法的有效性和适用性，并与已有的结果进行了比较，证明了其数值方法的优越性。
Abstract: In this paper, a collocation method for the second kind of nonlinear Volterra integral equation based on Bessel polynomials is proposed, and the error and convergence of the method are analyzed. The effectiveness and applicability of the method are verified by numerical examples, and the superiority of the numerical method is proved by comparing with the existing results.
文章引用：王斌斌, 曾光, 雷莉, 黄丝引, 熊晗. 基于贝塞尔多项式的第二类非线性Volterra积分方程的改进配置解法[J]. 应用数学进展, 2021, 10(5): 1496-1507. https://doi.org/10.12677/AAM.2021.105159

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