Journal Article10.1007/s11075-022-01363-2
The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations
Tongtong Hang,Zhongguo Zhou,Hao Pan,Yuan Wang +3 more
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TL;DR: The mass-conservative characteristic finite difference method for solving two-sided space-fractional advection-diffusion equation is proposed and analyzed and it is proved strictly that schemes I and II are stable under the condition Δ t = O (Δ x ^2) based on the choice of the weight coefficient in L ^2-norm.
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About: This article is published in Numerical Algorithms. The article was published on 08 Jul 2022. The article focuses on the topics: Computer science & Piecewise.
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Citations
Efficient numerical simulations based on an explicit group approach for the time fractional advection–diffusion reaction equation
TL;DR: In this article , a modified fractional explicit group method (MFEGM) was proposed for solving the two-dimensional TFADRE with suitable initial and boundary conditions, and the proposed method is established using a difference scheme based on L 1 discretization in temporal direction and central difference approximations with double spacing in spatial direction.
A general transport model for advection-diffusion process through fractures featuring self-affine properties and mismatched phenomena
Junling Zheng,Yi Jin,Zhenhua Li,Yunhang Yang,Shunxi Liu +4 more
TL;DR: A general transport model is developed for advection-diffusion in fractures with self-affine properties and mismatched phenomena, incorporating four control factors and a modified Taylor-Aris equation, and validated through Lattice Boltzmann simulations and theoretical analysis.
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An Unconditionally Stable Numerical Method for Space Tempered Fractional Convection-Diffusion Models
Zeshan Qiu
TL;DR: An unconditionally stable numerical method for space tempered fractional convection-diffusion models is derived, which is convergent with order O τ 2 + h 2
2
An efficient spline-based DQ method for 2D/3D Riesz space-fractional convection–diffusion equations
Xiaogang Zhu,Yaping Zhang +1 more
TL;DR: Spline-based DQ method efficiently solves fractional convection–diffusion equations in 2D/3D space.
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