A spectral method for the solution of boundary value problems

Nadaniela Egidi and Pierluigi Maponi

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: A new numerical method to solve two-point boundary value problems for second order differential equations is proposed. This method is based on the singular value expansion of an integral formulation of the derivative operator. Here, we outline such an expansion and we propose a method to build new algebraic schemes able to solve boundary value problems.

Keywords: Differentiation; Volterra integral equation; Singular value expansion; Approximations; Boundary value problems (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300320307657

DOI: 10.1016/j.amc.2020.125812

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