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

作者：Babaaghaie A^*; Mesgarani H

来源：Computational Mathematics and Mathematical Physics, 2012, 52(4): 601-614.

DOI：10.1134/S0965542512040045

• Fredholm integral equation of first kind
• Galerkin method
• scaling function
• two-dimensional wavelet convergence
• trigonometric wavelets

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 C (alpha)([a, b]).

• 出版日期2012-4