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Ponte Academic Journal
Feb 2016, Volume 72, Issue 2

PARAMETER ESTIMATION IN FRACTIONAL CONVECTION-DIFFUSION EQUATION

Author(s): Hanif Heidari ,Rasul Mohebbi, Asma Safarzade

J. Ponte - Feb 2016 - Volume 72 - Issue 2
doi: 10.21506/j.ponte.2016.2.21



Abstract:
The convection-diffusion equation is the governing equation of many important transport phenomena in building physics. The inverse problem of determining unknown parameters in convection-diffusion equation is crucial in science and engineering. Applications that give rise to this problem include identification of some unknown parameters and sources of groundwater flow and solute transport. Transport phenomena are modeled more accurately using fractional derivatives. Fractional derivatives is a powerful tool for modeling the processes with memory and hereditary properties. This paper proposes an identification procedure for the parameters of two-sided space-fractional convection-diffusion equation. The forward problem is discretized with the finite difference method, and the identification problem is formulated as a constrained minimization problem. The particle swarm optimization method is used for solving the optimization problem. Numerical simulations show that the proposed method is robust and accurate.
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