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A numerical process of the mobile-immobile advection-dispersion model arising in solute transport

عنوان مقاله: A numerical process of the mobile-immobile advection-dispersion model arising in solute transport
شناسه ملی مقاله: JR_JMCS-3-3_001
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:

Yones Esmaeelzade Aghdam - Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
Behnaz Farnam - Department of Mathematics, Qom University of Technology, Qom, Iran

خلاصه مقاله:
In the present article‎, ‎to find the answer to the mobile-immobile advection-dispersion model of temporal fractional order ۰< \beta \leq ۱ (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.

کلمات کلیدی:
Mobile-immobile advection-dispersion model, Legendre polynomials, stability, Convergence

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1528738/