Work

A shooting-Newton procedure for solving fractional terminal value problems

Year: 2024

Type: article

Abstract: In this paper we consider the numerical solution of fractional terminal value problems : namely, terminal value problems for fractional differential equations . In particular, the proposed method uses a Newton-type iteration which is particularly efficient when coupled with a recently-introduced step-by-step procedure for solving fractional initial value problems , i.e., initial value problems for fractional differential equations . As a result, the method is able to produce spectrally accurate solutions of fractional terminal value problems. Some numerical tests are reported to make evidence of its effectiveness. • Fractional differential equations. • Terminal value problems. • Fractional Hamiltonian Boundary Value Methods.

Source: Applied Mathematics and Computation

DOI: 10.1016/j.amc.2024.129164

Authors: Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

Institutions: University of Florence, University of Bari Aldo Moro

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,370

OpenAlex ID: W4404040778

FWCI:

Cites: 31

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Related to: 10