Title of article
A numerical process of the mobile-immobile advection-dispersion model arising in solute transport
Author/Authors
Esmaeelzade Aghdam ، Y Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University , Farnam ، B Department of Mathematics - Qom University of Technology
From page
1
To page
10
Abstract
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.
Keywords
Mobile , immobile advection , dispersion model , Legendre polynomials , stability , Convergence
Journal title
Mathematics and Computational Sciences
Journal title
Mathematics and Computational Sciences
Record number
2730657
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