Autor: |
Daopeng Yin, Liquan Mei |
Jazyk: |
angličtina |
Rok vydání: |
2021 |
Předmět: |
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Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100188- (2021) |
Druh dokumentu: |
article |
ISSN: |
2666-8181 |
DOI: |
10.1016/j.padiff.2021.100188 |
Popis: |
In this work, we will study a calculation method of variation formula with Riesz fractional derivative. As far as we know, Riesz derivative is a non-local operator including 2ndirections in n−dimension space, which the difficulties for computation of variation formula rightly bother us. In this paper, we will give an accurate method to cope with element of the stiffness matrix using polynomial basis function in the general domain meshed by unstructured triangle and the proof of diagonal dominance for Riesz fractional stiffness matrix. This method can be utilized to general fractional differential equation with Riesz derivative, which especially suitable for β close to 0.5 or 1. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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