Filter matrix based on interpolation wavelets for solving Fredholm integral equations

► The Extension of interpolation wavelets on the subintervals which called multi-interpolation wavelets. ► By Clanshaw-Curtis quadrature formula the matrices of this research gain the sparse property. ► Considerable computation reduction achievable by Clanshaw-Curtis integration. ► Applying filter matrix which has been made by tow-scale relations leads to new method. ► The new method based on filter matrix has the high order of convergence.