Title :
A Haar Wavelet Solution to Fredholm Equations
Author :
Lin, Xiao-Yan ; Leng, Jin-Song ; Lu, Ying-Jin
Author_Institution :
Sch. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
An efficient algorithm for solving Fredholm systems is proposed with operational matrices of integration of Haar wavelets. Numerical experiments demonstrate that the approximate solutions obtained by the presented algorithm have wonderful agreement with the analytical solutions and tend to be more accurate with the increase of the order of the Haar wavelet.
Keywords :
Fredholm integral equations; Haar transforms; wavelet transforms; Fredholm equations; Haar wavelet solution; operational matrices; Algorithm design and analysis; Function approximation; Image coding; Image processing; Integral equations; Mathematics; Signal processing; Signal processing algorithms; Technology management; Wavelet analysis;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5364343