Projected iterations of fixed point type to solve nonlinear partial Volterra integro–differential equations

02/06/2020

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by   M. I. Berenguer, et al.

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In this paper, we propose a method to approximate the fixed point of an operator in a Banach space. Using biorthogonal systems, this method is applied to build an approximation of the solution of a class of nonlinear partial integro–differential equations. The theoretical findings are illustrated with several numerical examples, confirming the reliability, validity and precision of the proposed method.