Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method

被引：8

作者：

Laib, Hafida ^{[1
]}

Boulmerka, Aissa ^{[1
]}

Bellour, Azzeddine ^{[2
]}

Birem, Fouzia ^{[1
]}

机构：

[1] Univ Ctr Mila, Lab Math & their interact, Mila, Algeria

[2] Ecole Normale Suprieure Constantine, Lab Appl Math & Didact, Constantine, Algeria

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 417卷

关键词：

Collocation method; Taylor polynomials; Error analysis; Two-dimensional Volterra integral equation; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1016/j.cam.2022.114537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this work is to provide a numerical approach for two-dimensional Volterra integral equations (2D-VIEs). An algorithm based on the use of Taylor polynomi-als is developed to construct a collocation solution v is an element of S-p-1,p-1((-1))(Pi(N,M)) for approximating the solution of 2D-VIEs. It is shown that this algorithm is convergent. Some numerical examples are included to demonstrate the accuracy of the presented method. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：21

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