模糊积分方程组数值解的伯努利小波方法

IF 1.1 Q2 MATHEMATICS, APPLIED Computational Methods for Differential Equations Pub Date : 2021-05-13 DOI:10.22034/CMDE.2021.22093.1257
M. Ramadan, Mohamed R. Ali
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引用次数: 2

摘要

本文提出了一种基于伯努利小波法(Bernoulli wavelet method, BWM)的二阶系统线性模糊Fredholm积分方程的有效数值求解方法。伯努利小波是由伯努利多项式的展开和平移产生的。本文的目的是应用伯努利小波方法求线性fredholm模糊积分方程组的近似解。首先介绍了伯努利小波的性质,然后用它将积分方程转化为代数方程组,给出了该方法的误差估计,并通过算例进行了比较。
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Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations
In this paper, we have proposed an efficient numerical method to solve a system linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM). Bernoulli wavelets have been generated by dilation and translation of Bernoulli polynomials. The aim of this paper is to apply Bernoulli wavelet method to obtain approximate solutions of a system of linear fredholm fuzzy integral equations. First we introduce properties of Bernoulli wavelets then we used it to transform the integral equations to the system of algebraic equations, the error estimates of the proposed method is given and compared by solving some numerical examples.
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来源期刊
CiteScore
2.20
自引率
27.30%
发文量
0
审稿时长
4 weeks
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