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