Adaptive Moving Mesh Finite Element Method for Space Fractional Advection Dispersion Equation

Abstract:

Space fractional advection dispersion equation includes non-local differential operators, which leads to calculating numerical integrals with weakly singular kernel on every subintervals. Oscillations are visible in computed solutions when fractional order tends to 1. Studies show that the stiffness matrix of time semi-discretization can be calculated directly by formulas established from a special variational formulation. Oscillations are eliminated by using adaptive moving mesh and De Boor algorithm, while the number of nodes remains unchanged.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 4654-4657
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.4654
• Online since: October 2012
• Authors: Zhi Qiang Zhou, Hong Ying Wu
• Keywords: Adaptive Moving Mesh, Fractional Advection Dispersion Equation, Linear Finite Element, Riemann-Liouville Derivative

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