42 citations · 147 across the 6 of their papers we have counts for
6 papers
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…
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…
Numerical simulations of anomalous diffusion
Mariusz Ciesielski, Jacek Leszczynski
In this paper we present numerical methods - finite differences and finite elements - for solution of partial differential equation of fractional order in time for one-dimensional…
A numerical method for solution of ordinary differential equations of fractional order
Leszczynski Jacek, Ciesielski Mariusz
In this paper we propose an algorithm for the numerical solution of arbitrary differential equations of fractional order. The algorithm is obtained by using the following decomposi…