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- Jan Długosz UniversityPL40 papers
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6 papers · 1 filter
Numerical method for the one phase 1D fractional Stefan problem supported by an artificial neural network
M. Blasik
In this paper we present a numerical solution of a one-phase 1D fractional Stefan problem with Caputo derivative with respect to time variable. In the proposed approach, we use a f…
Numerical solution of fractional Sturm-Liouville equation in integral form
Tomasz Blaszczyk, Mariusz Ciesielski
In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $α\in \left( 0,1 \rig…
A novel numerical technique used in the solution of ordinary differential equations with a mixture of integer and fractional derivatives
Jacek S. Leszczynski, Tomasz Blaszczyk
Using both fractional derivatives, defined in the Riemann-Liouville and Caputo senses, and classical derivatives of the integer order we examine different numerical approaches to o…
Numerical treatment of an initial-boundary value problem for fractional partial differential equations
Mariusz Ciesielski, Jacek Leszczynski
This paper deals with numerical solutions to a partial differential equation of fractional order. Generally this type of equation describes a transition from anomalous diffusion to…
Numerical solutions to boundary value problem for anomalous diffusion equation with Riesz-Feller fractional operator
Mariusz Ciesielski, Jacek Leszczynski
In this paper, we present a numerical solution to an ordinary differential equation of a fractional order in one-dimensional space. The solution to this equation can describe a ste…
Numerical Solutions of a Boundary Value Problem for the Anomalous Diffusion Equation with the Riesz Fractional Derivative
Mariusz Ciesielski, Jacek Leszczynski
In this paper we present in one-dimensional space a numerical solution of a partial differential equation of fractional order. This equation describes a process of anomalous diffus…