Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, a numerical approach is proposed for solving one dimensional nonlinear time-space-fractional reactionadvection-diffusion equation with Dirichlet boundary conditions. The fractional derivatives are described in the conformable sense. The numerical scheme is based on shifted Chebyshev polynomials of the fourth kind. The unknown function is written as Chebyshev series with m terms. The nonlinear space fractional reaction-advection-diffusion equation is reduced to a system of nonlinear ordinary differential equations by using the properties of Chebyshev polynomials and conformable fractional calculus.The finite difference method is applied to solve this system. Finally, numerical example is presented to confirm the reliability and effectiveness of the proposed approach.
Açıklama
Anahtar Kelimeler
Conformable fractional calculus, Finite difference method, Reaction-advection-diffusion equation, Shifted Chebyshev polynomials of the fourth kind
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Brahim, N. (2021). Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-5.
