Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space C α([a, b

Abstract

In this article, we employ trigonometric wavelet bases to numerical solution of Fredholm integral equations of first kind in Holder space. Employment of Galerkin method for trigonometric wavelets in Fredholm integral equations of first kind has resulted in occurrence of two-dimensional trigonometric wavelets. Here, we present the convergence of two-dimensional trigonometric wavelets in numerical solution in Holder space Cα([a, b]).