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The solution of the wave-diffusion equation by a Caputo derivative-based Finite Element Method formulation

Correa, R.M.; Carrer, J.A.M.; Solheid, B.S.; Trevelyan, J.; Arndt, M.; Machado, R.D.

Authors

R.M. Correa

J.A.M. Carrer

B.S. Solheid

M. Arndt

R.D. Machado



Abstract

A Finite Element Method approach is presented for the solution of the two-dimensional wave-diffusion equation. The fractional time derivative is considered as a Caputo derivative. Houbolt and Newmark methods are employed for the time-marching process. Four examples are presented and discussed.

Citation

Correa, R., Carrer, J., Solheid, B., Trevelyan, J., Arndt, M., & Machado, R. (2023). The solution of the wave-diffusion equation by a Caputo derivative-based Finite Element Method formulation. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(5), Article 261. https://doi.org/10.1007/s40430-023-04175-0

Journal Article Type Article
Acceptance Date Mar 22, 2023
Online Publication Date Apr 18, 2023
Publication Date 2023-05
Deposit Date Apr 11, 2023
Publicly Available Date Apr 19, 2024
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Print ISSN 1678-5878
Electronic ISSN 1806-3691
Publisher Springer Berlin Heidelberg
Peer Reviewed Peer Reviewed
Volume 45
Issue 5
Article Number 261
DOI https://doi.org/10.1007/s40430-023-04175-0
Public URL https://durham-repository.worktribe.com/output/1177448

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Copyright Statement
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40430-023-04175-0




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