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A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets 被引量：2

A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets
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摘要 In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on [0,1] are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other. In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on [0,1] are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other.
作者 M. Bahmanpour M. A.Fariborzi Araghi
机构地区 Department of Mathematics Department of Mathematics
出处 《Analysis in Theory and Applications》 2013年第3期197-207,共11页 分析理论与应用（英文刊）
关键词 第一类FREDHOLM积分方程 CHEBYSHEV 小波基 积分方程方法 GALERKIN方法 LEGENDRE 求解 积分方程组 First kind Fredholm integral equation, Galerkin and Modified Galerkin method, Legendre wavelets, Chebyshev wavelets.
分类号 O175.5 [理学—基础数学] TP18 [自动化与计算机技术—控制理论与控制工程]
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参考文献16

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二级引证文献6

Analysis in Theory and Applications
2013年 第3期

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