Low memory requirement and computational time method for solving a class of integral equations

In this work, we present a new low memory requirement and low computational time method for solving a class of integral equation of the second kind which is based on the use of B-Spline wavelets. Because of vanishing moments and compact support and semiorthogonality properties of these wavelets, operational matrix of the method is very sparse. Also, applying some appropriate thresholding parameter and GMRES method for solving sparse systems, we get a computationally attractive method with low CPU requirement. For showing the accuracy of the method some numerical method are presented. Keywords: Fredholm integral equation; B-spline wavelets; memory requirement; computational time.