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A sequential approach for solving the Fredholm integro-differential equation. (English) Zbl 1241.65118
Summary: A numerical approximation method for the solution of Fredholm integro-differential equations is presented. The method provides a sequential solution and makes use of appropriate Schauder bases in adequate Banach spaces of continuous functions as well as of classical fixed-point results. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.
MSC:
65R20Integral equations (numerical methods)
45B05Fredholm integral equations
45G10Nonsingular nonlinear integral equations
45J05Integro-ordinary differential equations
References:
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