Numerical methods based on spline quasi-interpolation operators for integro-differential equations

被引：2

作者：

Allouch, Chafik ^{[1
]}

Barrera, Domingo ^{[2
]}

Saou, Abdelmonaim ^{[3
]}

Sbibih, Driss ^{[4
]}

Tahrichi, Mohamed ^{[3
]}

机构：

[1] Univ Mohammed 1, LAMAO Lab, FPN MSC Team, MSC Team, Nador, Morocco

[2] Univ Granada, Dept Appl Math, Campus Fuentenueva s-n, Granada 18071, Spain

[3] Univ Mohammed First, Fac Sci, ANO Lab, Team ANAA, Oujda, Morocco

[4] Univ Mohammed First, Fac Sci, ANO Lab, Oujda, Morocco

来源：

JOURNAL OF MATHEMATICAL MODELING | 2022年 / 10卷 / 04期

关键词：

Integro-differential equations; quasi-interpolants; collocation method; Kantorovich method; COLLOCATION METHOD; DECOMPOSITION METHOD; FREDHOLM;

D O I：

10.22124/JMM.2022.20181.1756

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose collocation and Kantorovich methods based on spline quasiinterpolants defined on a bounded interval to solve numerically a class of Fredholm integro-differential equations. We describe the computational aspects for calculating the approximate solutions and give theoretical results corresponding to the convergence order of each method in terms of the degree of the considered spline quasi-interpolant. Finally, we provide some numerical tests that confirm the theoretical results and prove the efficiency of the proposed methods.

引用

页码：387 / 401

页数：15

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