Numerical Computational Solution of Fredholm Integral Equations of the Second Kind by Using Multiwavelet

摘要

The main purpose of this paper is to develope a multiwavelets Galerkin method for obtain numerical solution of Fredholm integral equations of second kind. On other hand, we use a class of multiwavelet which construct a bases for L{sup}2(R) and leads to a sparse matrices with high precision, in numerical methods as Galerkin method. Because multiwavelets are able to offer a combination of orthogonality, symmetry, higher order of approximation and short support, methods using multiwavelets frequently outperform those using the comparable scale wavelets. Since spline bases have a maximal approximation order with respect to their length, we using a family of spline multiwavets that are symmetric and orthogonal as basis. Finally, by using numerical examples we show that our estimation have a good degree of accuracy.