@inproceedings{3662acad031f49a1bf8479e1c1a9ff24,
title = "A comparison of two hybrid methods for applying the time-fractional heat equation to a two dimensional function",
abstract = "The solution of the time-fractional diffusion equation in two-dimensions allows one to apply this fractional partial differential equation to an image. We present a computationally efficient method that generalizes trivially to temporal derivatives of fractional order. Comparisons of the present method with analytical solutions indicate a small error and justify this method as an application tool for the time-fractional diffusion equation to either a two-dimensional function or an image.",
keywords = "Chebyshev Collocation, Finite Difference, Fractional Partial Differential Equations, Image Processing, Numerical Inverse Laplace Transform",
author = "Jacobs, {B. A.} and C. Harley",
year = "2013",
doi = "10.1063/1.4825955",
language = "English",
isbn = "9780735411845",
series = "AIP Conference Proceedings",
pages = "2119--2122",
booktitle = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013",
note = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 ; Conference date: 21-09-2013 Through 27-09-2013",
}