19 citations · 19 across the 3 of their papers we have counts for
4 papers · 1 filter
Error Estimates for Deep Learning Methods in Fluid Dynamics
Animikh Biswas, Jing Tian, Suleyman Ulusoy
In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible Navier-Stokes e…
Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation
Ngartelbaye Guerngar, Erkan Nane, Ramazan Tinatztepe +2
In this article, we consider the space-time fractional (nonlocal) equation characterizing the so-called "double-scale" anomalous diffusion $$\partial_t^βu(t, x) = -(-Δ)^{α/2}u(t,x)…
A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion
Ngartelbaye Guerngar, Erkan Nane, Süleyman Ulusoy +1
In this article, we consider the space-time Fractional (nonlocal) diffusion equation where $\partial…
Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations
Kenneth H. Karlsen, Suleyman Ulusoy
We analyze entropy solutions for a class of Levy mixed hyperbolicparabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy pro…