On s-elementary wavelets in R and their applications in solving integral
AbstractIn this paper, we introduce a class of s-elementary wavelets as the
basis functions and use them to present an operational computational
method for solving nonlinear Fredholm and Volterra integral equations.
For presenting the methods, first, operational matrices for the
s-elementary wavelets are derived. Then, the s-elementary wavelets bases
along with these operational matrices are applied for solving integral
equations. Convergence analysis of the s- elementary wavelets basis are
investigated. To reveal the accuracy and efficiency of the proposed
method some numerical examples are included and the obtained results are
compared with some references.