On the Numerical Solution of Integral Equations System by B-Spline Wavelet Collocation.
K. Maleknejad, Monireh Nosrati Sahlan · Parallel and Distributed Processing Techniques and Applications · 2010
In this paper, we propose the cubic semi-orthogonal compactly supported B-spline wavelets as a basis functions for the efficient solution of the second kind Fredholm integral equations system. Properties of these wavelets first presented and these properties are then used to reduce the computation of system of integral equations to some algebraic equations. The exponential convergence rate of the method, O(2−4j) is proved. The method is computationally attractive, and applications are demonstrated through illustrative examples.