New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study adresses two new numerical techniques for solving some interesting one-dimensional time-fractional partial differential equations (PDEs). We have introduced modified homotopy perturbation method in conformable sense (MHPMC) and Adomian decomposition method in conformable sense (ADMC) which improve the solutions for linear-nonlinear fractional PDEs. In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of three illustrative problems. Also, we have declared that the proposed models are very efficient and powerful techniques in finding approximate-analytical solutions for the PDEs of fractional order in conformable sense.
Açıklama
9th International Conference on Non-Integer Order Calculus and Its Applications -- OCT 11-13, 2017 -- Lodz, POLAND
Anahtar Kelimeler
Numerical Solution, Conformable Derivative, Fractional Diffusion Equation, Adomian Decomposition Method, Modified Homotopy Perturbation Method
Kaynak
Non-Integer Order Calculus And Its Applications
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
496
