On the numerical solution to space fractional differential equations using meshless finite differences

We derive a discretization of the Caputo and Riemann–Liouville spatial derivatives by means of the meshless Generalized Finite Difference Method, which is based on moving least squares. The conditional convergence of the method is proved and several examples over one dimensional irregular meshes are given.

Authors

A. García (ORCID: https://orcid.org/0000-0002-8183-7130)
Francisco Ureña (ORCID: https://orcid.org/0000-0003-0258-8525)
A.M. Vargas (ORCID: https://orcid.org/0000-0002-2235-0111)
Mihaela Negreanu (ORCID: https://orcid.org/0000-0003-0533-3464)

Institutions

Universidad Nacional de Educación a Distancia (ES)

Publication Details

Journal: Journal of Computational and Applied Mathematics
Published: 2024-10-24
DOI: https://doi.org/10.1016/j.cam.2024.116322
Citations: 9
Primary Topic: Fractional Differential Equations Solutions
Type: article
Field-Weighted Citation Impact: 3.56

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article

On the numerical solution to space fractional differential equations using meshless finite differences

A. García, Francisco Ureña, A.M. Vargas, Mihaela Negreanu

Oct 24, 2024

9 citations

Journal of Computational and Applied Mathematics

Fractional Differential Equations Solutions

3.56

article

On the numerical solution to space fractional differential equations using meshless finite differences

A. García, Francisco Ureña, A.M. Vargas, Mihaela Negreanu

October 24, 2024article en

9 citations

Abstract

We derive a discretization of the Caputo and Riemann–Liouville spatial derivatives by means of the meshless Generalized Finite Difference Method, which is based on moving least squares. The conditional convergence of the method is proved and several examples over one dimensional irregular meshes are given.

Journal of Computational and Applied MathematicsVol. 457

Universidad Nacional de Educación a Distancia (ES)

Openalex Percentile: Top 7%

Fractional Differential Equations Solutions

3.56

DOI Open Access PDF OpenAlex

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On the numerical solution to space fractional differential equations using meshless finite differences — A. García, Francisco Ureña, et al. · Journal of Computational and Applied Mathematics (2024) | TGRS Research Map | TGRS