Wavelets direct method for solving volterra integral-algebraic equations

被引：1

作者：

Sohrabi, S. ^{[1
]}

机构：

[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh 5756151818, Iran

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 04期

关键词：

Integral-algebraic equations; Legendre wavelets; Operational matrix; Error estimate; NUMERICAL-SOLUTION; COLLOCATION METHOD; SYSTEMS;

D O I：

10.1007/s13370-023-01135-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the numerical solutions for Volterra type integral-algebraic equations (IAEs) via a direct method using Legendre wavelets (LWs). Using the operational matrix associated with Legendre wavelets the problem is transformed to a linear system of algebraic equations. This approach does not use any variable transformations, so all calculations can be easily implemented. Convergence rate and numerical examples are presented to illustrate the efficiency and applicability of the method.

引用

页数：16

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