Application of the CAS Wavelet in Solving Fredholm-Hammerstein Integral Equations of the Second Kind with Error Analysis
نویسنده
چکیده
Abstract: In this paper, we present a computational method for solving Fredholm-Hammerstein integral equations of the second kind. The method utilizes CAS wavelets constructed on the unit interval as basis in the Galerkin method and reduces the solution of the Hammerstein integral equation to the solution of a nonlinear system of algebraic equations. Error analysis is presented for this method. The properties of CAS wavelets are used to make the wavelet coefficient matrices sparse, which eventually leads to the sparsity of the coefficient matrix of the system obtained. Finally, numerical examples are presented to show the validity and efficiency of the technique.
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