Wavelets direct method for solving volterra integral-algebraic equations

IF 0.9 Q2 MATHEMATICS
S. Sohrabi
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引用次数: 0

Abstract

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.

求解volterra积分代数方程的小波直接法
本文利用勒让德小波直接求解了Volterra型积分代数方程的数值解。利用与勒让德小波相关的运算矩阵,将问题转化为线性代数方程组。这种方法不使用任何变量转换,因此所有的计算都可以很容易地实现。给出了收敛速度和数值算例,说明了该方法的有效性和适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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