Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations

Carlo Cattani; Aleksey Kudreyko

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Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations

机译：周期谐波小波在积分方程特征值问题求解中的应用

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This article deals with the application of the periodized harmonic wavelets for solution of integral equations and eigenvalue problems. The solution is searched as a series of products of wavelet coefficients and wavelets. The absolute error for a general case of the wavelet approximation was analytically estimated.

机译：本文讨论了周期谐波小波在积分方程和特征值问题求解中的应用。该解决方案被搜索为一系列小波系数和小波的乘积。对于小波近似的一般情况，绝对误差是通过分析估计的。

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《Mathematical Problems in Engineering》 |2010年第speca期|p.16.1-16.8|共8页
作者
Carlo Cattani; Aleksey Kudreyko;
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作者单位

diFarma, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy;

Department of Mathematics and Computer Science, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy;

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1. Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations [J] . CarloCattani, AlekseyKudreyko Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第5期

机译：周期谐波小波在积分方程特征值问题求解中的应用
2. Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations [J] . CarloCattani, AlekseyKudreyko Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第2期

机译：周期谐波小波在积分方程特征值问题求解中的应用
3. Approximation of function belonging to generalized H?lder’s class by first and second kind Chebyshev wavelets and their applications in the solutions of Abel’s integral equations [J] . Shyam Lal, R. Priya Sharma Arabian Journal of Mathematics . 2021,第1期

机译：通过第一和第二种Chebyshev小波和其在ABEL的整体方程解决方案中的函数属于广义H·赖尔的阶级功能的近似
4. Application of circular harmonic wavelets towardssolution of the Fredholm type integral equations [C] . Aleksey A. Kudreyko International Conferences on Days on Diffraction . 2009

机译：圆形谐波小波在Fredholm型积分方程的应用中的应用
5. Superconvergence of iterated solutions for linear and nonlinear integral equations: Wavelet applications [D] . Novaprateep, Boriboon. 2003

机译：线性和非线性整体方程的迭代解的超计度：小波应用
6. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Application of Semiorthogonal B-Spline Wavelets for the Solutions of Linear Second Kind Fredholm Integral Equations [O] . S. Saha Ray, P. K. Sahu 2014

机译：半正交B样条小波在线性二类Fredholm积分方程解中的应用
8. Wavelets for the Fast Solution of Second-Kind Integral Equations. [R] . Alpert, B., Beylkin, G., Coifman, R., 1990

机译：第二类积分方程快速解的小波。

Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations

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