Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks-Reference-Cited by-同舟云学术

Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks

Published:2022-06-28 Issue:1 Volume:2022 Page:
ISSN:2731-4235
Container-title:Advances in Continuous and Discrete Models
language:en
Short-container-title:Adv Cont Discr Mod

Author:

Avazzadeh Zakieh^ORCID,Nikan Omid^ORCID,Tenreiro Machado José^ORCID,Rasoulizadeh Mohammad Navaz^ORCID

Abstract

AbstractThis paper proposes a local meshless radial basis function (RBF) method to obtain the solution of the two-dimensional time-fractional Sobolev equation. The model is formulated with the Caputo fractional derivative. The method uses the RBF to approximate the spatial operator, and a finite-difference algorithm as the time-stepping approach for the solution in time. The stability of the technique is examined by using the matrix method. Finally, two numerical examples are given to verify the numerical performance and efficiency of the method.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-022-03720-w.pdf

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