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
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:
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
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/