Solving nonlinear Fredholm integral equations with PQWs in complex plane Online publication date: Thu, 01-Apr-2021
by H. Beiglo; M. Gachpazan; M. Erfanian
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 1, 2021
Abstract: In this paper, we propose a numerical scheme to solve a kind of nonlinear Fredholm integral equations of the second kind in the complex plane. The periodic quasi-wavelets (PQWs) constructed on [0; 2π] are utilised as a basis of iteration method. Using the Banach fixed point theorem, we obtain some results concerning the error analysis. Illustrative examples are included to demonstrate the validity and applicability of the technique.
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