ITERATIVE CONTINUOUS COLLOCATION METHOD FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

被引：0

作者：

Bellour, Azzeddine ^{[1
]}

Rouibah, Khaoula ^{[2
]}

机构：

[1] Ecole Normale Super Constantine, Lab Appl Math & Didact, Constantine, Algeria

[2] Ctr Univ Mila, Mila, Algeria

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2021年 / 47卷 / 01期

关键词：

Volterra integro-differential equations; Collocation method; Continuous spline polynomials; Iterative Method; Convergence analysis; NUMERICAL-SOLUTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an iterative collocation method is presented for a class of nonlinear Volterra integro-differential equations. This iterative collocation method is made by using a suitable continuous spline polynomials. 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.

引用

页码：99 / 111

页数：13

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