A space-fractional advection-diffusion equation, involving the Riemann-Liouville derivative, with a nonlinear source term is considered. The authors determine the Lie symmetries and reduce the original fractional partial differential equation into a fractional ordinary differential equation (FODE), in some interesting cases. Numerical solutions of FODEs are obtained, and through Lie transformations, numerical solutions of original equation are found.
Numerical solutions of space-fractional advection-diffusion equation with a source term
Jannelli A.Primo
;Ruggieri M.Penultimo
;Speciale M. P.
Ultimo
2019-01-01
Abstract
A space-fractional advection-diffusion equation, involving the Riemann-Liouville derivative, with a nonlinear source term is considered. The authors determine the Lie symmetries and reduce the original fractional partial differential equation into a fractional ordinary differential equation (FODE), in some interesting cases. Numerical solutions of FODEs are obtained, and through Lie transformations, numerical solutions of original equation are found.File in questo prodotto:
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