Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

Rafał Brociek, Agata Chmielowska, Damian Słota
2020 Fractal and Fractional  
This paper presents the application of the swarm intelligence algorithm for solving the inverse problem concerning the parameter identification. The paper examines the two-dimensional Riesz space fractional diffusion equation. Based on the values of the function (for the fixed points of the domain) which is the solution of the described differential equation, the order of the Riesz derivative and the diffusion coefficient are identified. The paper includes numerical examples illustrating the
more » ... illustrating the algorithm's accuracy.
doi:10.3390/fractalfract4030039 fatcat:nakpgqszoneddpnw7fvakmmgyy