We provide a new approach to obtain solutions of linear differential problems set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are numerically robust and computationally efficient.

Numerical solution of nonclassical boundary value problems

Boito, Paola
;
Gemignani, Luca
2024-01-01

Abstract

We provide a new approach to obtain solutions of linear differential problems set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are numerically robust and computationally efficient.
2024
Boito, Paola; Eidelman, Yuli; Gemignani, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1271515
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