dr inż. Anna Szafrańska
- Adiunkt w Instytut Matematyki Stosowanej
On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
In this note, we establish the property of convergence for a finite-difference discretization of a diffusive partial differential equation with generalized Burgers convective law and generalized Hodgkin–Huxley reaction. The numerical method was previously investigated in the literature and, amongst other features of interest, it is a fast and nonlinear technique that is capable of preserving positivity, boundedness and monotonicity....
Comments on various extensions of the Riemann–Liouville fractional derivatives : About the Leibniz and chain rule properties
Starting from the Riemann–Liouville derivative, many authors have built their own notion of fractional derivative in order to avoid some classical difficulties like a non zero derivative for a constant function or a rather complicated analogue of the Leibniz relation. Discussing in full generality the existence of such operator over continuous functions, we derive some obstruction Lemma which can be used to prove the triviality...
About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof
Recently, the fractional Noether's theorem derived by G. Frederico and D.F.M. Torres in  was proved to be wrong by R.A.C. Ferreira and A.B. Malinowska in (see ) using a counterexample and doubts are stated about the validity of other Noether's type Theorem, in particular (,Theorem 32). However, the counterexample does not explain why and where the proof given in  does not work. In this paper, we make a detailed analysis...
Uzyskane stopnie/tytuły naukowe
Nadanie stopnia naukowegodr inż. Matematyka (Dziedzina nauk matematycznych)Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki
wyświetlono 990 razy