TY - JOUR
ID - 254908
TI - A numerical process of the mobile-immobile advection-dispersion model arising in solute transport
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Esmaeelzade Aghdam, Y
AU - Farnam, B
AD - Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
AD - Department of Mathematics, Qom University of Technology, Qom, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 3
SP - 1
EP - 10
KW - Mobile-immobile advection-dispersion model
KW - Legendre polynomials
KW - stability
KW - Convergence
DO - 10.30511/mcs.2022.554606.1072
N2 - In the present article, to find the answer to the mobile-immobile advection-dispersion model of temporal fractional order $0< \beta \leq 1$ (MI-ADM-TF), which can be applied to model the solute forwarding in watershed catchment and flood, the effective high-order numerical process is gonna be built.To do this, the temporal-fractional derivative of the MI-ADM-TF is discretized by using the linear interpolation, and the temporal-first derivative by applying the first-order precision of the finite-difference method. On the other hand, After obtaining a semi-discrete form, to obtain the full-discrete technique, the space derivative is approximated utilizing a collocation approach based on the Legendre basis.The convergence order of the implicit numerical design for MI-ADM-TF is discussed in that is linear.Moreover, the temporal-discretized structure of stability is also discussed theoretically in general in the article.Eventually, two models are offered to demonstrate the quality and authenticity of the established process.
UR - http://mcs.qut.ac.ir/article_254908.html
L1 - http://mcs.qut.ac.ir/article_254908_22acd5f166739af21a07a0042fcac86d.pdf
ER -