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.

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