Publication:
A localized hybrid kernel meshless technique for solving the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid
A localized hybrid kernel meshless technique for solving the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid
| dc.contributor.author | Zakieh Avazzadeh | |
| dc.contributor.author | Omid Nikan | |
| dc.contributor.author | Anh Tuan Nguyen | |
| dc.contributor.author | Van Tien Nguyen | |
| dc.date.accessioned | 2024-03-07T01:43:13Z | |
| dc.date.available | 2024-03-07T01:43:13Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | "This paper presents an efficient stabilized meshless technique with a hybrid kernel to simulate the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid. The proposed method approximates the unknown solution through two phases. Firstly, the temporal discretization of the govern model is performed by integrating both sides of it, and then the space discretization is obtained by making use of the local hybrid Gaussian-cubic kernel meshless. The localized approach considers merely neighboring collocation nodes, while avoiding the ill-conditioning occurring in other techniques with dense and large matrix systems. The semidiscretized approach in terms of the convergence and stability properties is discussed theoretically in the weighted 𝐻1-norm and confirmed numerically. Two illustrative examples are given to show the efficiency and applicability of the proposed strategy." | |
| dc.identifier.doi | 10.1016/j.enganabound.2022.11.003 | |
| dc.identifier.uri | http://repository.vlu.edu.vn:443/handle/123456789/12867 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Engineering Analysis with Boundary Elements | |
| dc.relation.issn | 0955-7997 | |
| dc.subject | "Fractional derivative | |
| dc.subject | Rayleigh–Stokes model | |
| dc.subject | Local hybrid kernel meshless technique | |
| dc.subject | Stability | |
| dc.subject | Convergence" | |
| dc.title | A localized hybrid kernel meshless technique for solving the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid | |
| dc.type | journal-article | |
| dspace.entity.type | Publication | |
| oaire.citation.volume | 146 |
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