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Modeling and Computing of Fractional Convection Equation
Communications on Applied Mathematics and Computation
In this paper, we derive the fractional convection (or advection) equations (FCEs) (or FAEs) to model anomalous convection processes. Through using a continuous time random walk (CTRW) with power-law jump length distributions, we formulate the FCEs depicted by Riesz derivatives with order in (0, 1). The numerical methods for fractional convection operators characterized by Riesz derivatives with order lying in (0, 1) are constructed too. Then the numerical approximations to FCEs are studied indoi:10.1007/s42967-019-00019-8 fatcat:yftwa5vdnbhpzcpwo76i2gp5bq