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The authors present a method of numerical approximation of the fixed point of an operator, specifically the integral one associated with a nonlinear Fredholm integral equation, that uses strongly the properties of a classical Schauder basis in the Banach space C a, b × a, b .

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Please cite this article as: M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Galerkin method for constrained variational equations and a collage-based approach to related inverse problems, Journal of Computational and Applied Mathematics (2015), http://dx. AbstractFor a general variational equation with constraints we present both the stability of the corresponding Galerkin method and a collage theorem for a related inverse problem. In addition we demonstrate the applicability of the results by considering forward and inverse boundary value problems of some linear impulsive differential equations.

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