Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms
Engström, Christian; Giani, Stefano; Grubišić, Luka
Dr Stefano Giani firstname.lastname@example.org
In this paper, we consider the numerical inverse Laplace transform for distributed order time-fractional equations, where a discontinuous Galerkin scheme is used to discretize the problem in space. The success of Talbot’s approach for the computation of the inverse Laplace transform depends critically on the problem’s spectral properties and we present a method to numerically enclose the spectrum and compute resolvent estimates independent of the problem size. The new results are applied to time-fractional wave and diffusion-wave equations of distributed order.
Engström, C., Giani, S., & Grubišić, L. (2023). Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms. Journal of Computational and Applied Mathematics, 425, Article 115035. https://doi.org/10.1016/j.cam.2022.115035
|Journal Article Type||Article|
|Online Publication Date||Dec 30, 2022|
|Deposit Date||Feb 27, 2023|
|Publicly Available Date||Feb 27, 2023|
|Journal||Journal of Computational and Applied Mathematics|
|Peer Reviewed||Peer Reviewed|
Published Journal Article
Publisher Licence URL
© 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/<br /> licenses/by/4.0/).
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