TY - GEN
T1 - Numerical Simulation of a Fractional Timoshenko Beam Model Using High-Order Finite Difference Schemes
AU - Batiha, Iqbal M.
AU - Zineb, Beghou
AU - Belakroum, Dounia
AU - Oudetallah, Jamal
AU - Ouannas, Adel
AU - Momani, Shaher
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - In this paper, we present a fourth-order compact finite difference (CFD) method for numerically solving a fourth-order parabolic partial differential equation describing the transverse vibration of a fractional Timoshenko beam. A fourth-order compact scheme is employed for the spatial discretization, while a second-order Crank-Nicolson method is used for time integration. The proposed approach accurately satisfies the boundary conditions without requiring additional approximations at the boundaries and is easy to implement. The method achieves fourth-order spatial accuracy and second-order temporal accuracy using a single compact stencil. Two numerical examples are considered to assess the performance of the scheme, and the computed results are compared with available reference solutions, confirming the reliability and accuracy of the method.
AB - In this paper, we present a fourth-order compact finite difference (CFD) method for numerically solving a fourth-order parabolic partial differential equation describing the transverse vibration of a fractional Timoshenko beam. A fourth-order compact scheme is employed for the spatial discretization, while a second-order Crank-Nicolson method is used for time integration. The proposed approach accurately satisfies the boundary conditions without requiring additional approximations at the boundaries and is easy to implement. The method achieves fourth-order spatial accuracy and second-order temporal accuracy using a single compact stencil. Two numerical examples are considered to assess the performance of the scheme, and the computed results are compared with available reference solutions, confirming the reliability and accuracy of the method.
KW - Crank-Nicolson approximation
KW - compact finite difference method
KW - fourth-order parabolic equation
KW - fractional derivative
UR - https://www.scopus.com/pages/publications/105031590649
U2 - 10.1109/ICEEE67194.2025.11261919
DO - 10.1109/ICEEE67194.2025.11261919
M3 - Conference contribution
AN - SCOPUS:105031590649
T3 - 2025 12th International Conference on Electrical and Electronics Engineering, ICEEE 2025
SP - 376
EP - 380
BT - 2025 12th International Conference on Electrical and Electronics Engineering, ICEEE 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 12th International Conference on Electrical and Electronics Engineering, ICEEE 2025
Y2 - 24 September 2025 through 26 September 2025
ER -