A reliable analytical approach for a fractional model of advection-dispersion equation
NONLINEAR ENGINEERING - MODELING AND APPLICATION, cilt.8, sa.1, ss.107-116, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.1515/nleng-2018-0027
- Dergi Adı: NONLINEAR ENGINEERING - MODELING AND APPLICATION
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.107-116
- Anahtar Kelimeler: Fractional advection-dispersion problem, Laplace transform method, q-fractional homotopy analysis transform technique, Mittage-Leffler function
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
Empirical investigations of solute fate and carrying in streams and rivers often contain inventive liberate of solutes at an upstream perimeter for a finite interval of time. An analysis of various worth references on surfacewater-grade mathematical formulation reveals that the logical solution to the continual-parameter advection- dispersion problem for this type of boundary state has been generally missed. In this work, we study the q-fractional homotopy analysis transform method (q-FHATM) to find the analytical and approximate solutions of space-time arbitrary order advection-dispersion equations with nonlocal effects. The diagrammatical representation is done by using Maple package, which enhance the discretion and stability of family of q-FHATM series solutions of fractional advection-dispersion equations. The efficiency of the applied technique is demonstrated by using three numerical examples of space- and time-fractional advection-dispersion equations.