Numerical Solution of Fractional Bratu Type Equations with Legendre Reproducing Kernel Method
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this research, a new numerical method is proposed for solving fractional Bratu type boundary value problems. Fractional derivatives are taken in Caputo sense. This method is predicated on iterative approach of reproducing kernel Hilbert space theory with shifted Legendre polynomials. Construction of iterative process is shown by orthogonal projection operator. Numerical results show that our method is effective and convenient for fractional Bratu type problem. © 2018, Springer Nature India Private Limited.
Açıklama
Anahtar Kelimeler
Boundary value problem, Bratu equation, Numerical approximation, Reproducing kernel method, Shifted Legendre polynomials
Kaynak
International Journal of Applied and Computational Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
4
Sayı
5
