R.M. Correa
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
J.A.M. Carrer
B.S. Solheid
Professor Jon Trevelyan jon.trevelyan@durham.ac.uk
Professor
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 |
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