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On the construction of iterated collocation-type approximations for linear fractional differential equations

Year: 2024

Type: article

Abstract: The present paper is concerned with the numerical solution of initial value problems for linear Caputo-type fractional differential equations. Some regularity results are presented and, using a reformulated integral equation approach, a high-order collocation method and its iterated version are constructed. Global superconvergence results of the iterated version are studied. Numerical examples confirming the theoretical results are also given.

Source: Acta et Commentationes Universitatis Tartuensis de Mathematica

DOI: 10.12697/acutm.2024.28.20

Authors: Erik-Jürgen Määrits, Arvet Pedas, Mikk Vikerpuur

Institution: University of Tartu

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404824923

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