Taylor collocation method for solving two-dimensional partial Volterra integro-differential equations

被引：2

作者：

Khennaoui, Cheima ^{[1
,2
]}

Bellour, Azzeddine ^{[2
]}

Laib, Hafida ^{[1
]}

机构：

[1] Ctr Univ Abdelhafid Boussouf Mila, Inst Sci & Technol, Mila, Algeria

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 12期

关键词：

collocation method; partial Volterra integro-differential equation; Taylor polynomials; two-dimensional equations; NUMERICAL-SOLUTION; OPERATIONAL MATRIX; ALGORITHM;

D O I：

10.1002/mma.9209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the numerical solution of a two-dimensional partial Volterra integro-differential equation (2D-PVIDE) is provided by extending the Taylor collocation scheme of one-dimensional Volterra integral equations. The method is based on the use of Taylor polynomials in two-dimensional, while the approximate solution is given by using explicit schemes. The method is proved to be high-order convergent with respect to the maximum norm. Some numerical examples are given to verify the theoretical results.

引用

页码：12735 / 12758

页数：24

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