FRACTIONAL TYPE POISSON EQUATIONS BY RADIAL BASIS FUNCTIONS KANSA APPROACH
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Dosyalar
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Prishtines
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we propose a numerical scheme for the solution of fractional order of Poisson equation in R-2. The new scheme uses 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 high dimensions. In the numerical solution approach the Kansa's collocation method is used to discrete fractional derivative terms with the multiquadric basis function. The numerical experiments two dimensional cases are presented and discussed, which conform well with the corresponding exact solutions.
Açıklama
WOS: 000394613300009
Anahtar Kelimeler
Conformable fractional derivative, Poisson equation, radial basis functions, Kansa collocation technique.
Kaynak
Journal Of Inequalities And Special Functions
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
7
Sayı
4
