Details

Autor(en) / Beteiligte

• Liu, Huan
• Zheng, Xiangcheng
• Chen, Chuanjun
• Wang, Hong

Titel

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

Ist Teil von

• Advances in computational mathematics, 2021-06, Vol.47 (3), Article 41

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2021

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we study the solute transport in heterogeneous media described by the time-fractional mobile/immobile advection diffusion model, where the integer and the fractional time derivatives are employed to characterize the movement of the particles in the mobile and immobile zone, respectively. We propose a fully discrete characteristic finite element scheme for the model, in which the modified method of characteristics is applied to handle the domination of advection. The optimal L 2 error estimate is derived with first-order accuracy in time and second-order accuracy in space. Several practical numerical experiments are presented to validate the effectiveness and accuracy of the proposed method.