求解非线性Volterra积分方程的迭代连续配置方法

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-08-01 DOI:10.46793/kgjmat2204.635r

K. Rouibah, A. Bellour, P. Lima, E. Rawashdeh

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引用次数: 2

摘要

本文研究非线性Volterra积分方程的数值解。本文的主要目的是在连续配置拉格朗日多项式的基础上，为非线性Volterra积分方程的数值求解提供一种新的数值方法。结果表明，该方法是收敛的。将结果与其他著名数值方法的结果进行了比较，以证明该算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations

This paper is concerned with the numerical solution of nonlinear Volterra integral equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Lagrange polynomials for the numerical solution of nonlinear Volterra integral equations. It is shown that this method is convergent. The results are compared with the results obtained by other well-known numerical methods to prove the eﬀectiveness of the presented algorithm.

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