Numerical solution of fractional elliptic PDE's by the collocation method
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Dosyalar
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Prairie View A & M Univ, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this presentation a numerical solution for the solution of fractional order of elliptic partial differential equation in R-2 is proposed. In this method we use the Radial basis functions (RBFs) method to benefit the desired properties of mesh free techniques such as no need to generate any mesh and easily applied to multi dimensions. In the numerical solution approach the RBF collocation method is used to discrete fractional derivative terms with the Gaussian basis function. Two dimensional numerical examples are presented and discussed, which conform well with the corresponding exact solutions.
Açıklama
WOS: 000415903700030
Anahtar Kelimeler
Conformable fractional calculus, radial basis function, collocation method
Kaynak
Applications And Applied Mathematics-An International Journal
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
12
Sayı
1
