RT Journal Article
T1 An approach based on the pseudospectral method for fractional telegraph equations
A1 Bin Jebreen, Haifa
A1 Hernández-Jiménez, Beatriz
K1 Convergence analysis
K1 Chebyshev cardinal functions
K1 Fractional Telegraph equation
K1 Pseudospectral method
AB We aim to implement the pseudospectral method on fractional Telegraph equation. To implement this method, Chebyshev cardinal functions (CCFs) are considered bases. Introducing a matrix representation of the Caputo fractional derivative (CFD) via an indirect method and applying it via the pseudospectral method helps to reduce the desired problem to a system of algebraic equations. The proposed method is an effective and accurate numerical method such that its implementation is easy. Some examples are provided to confirm convergence analysis, effectiveness and accuracy.
PB AIMS Press
YR 2023
FD 2023-10-26
LK https://hdl.handle.net/10433/19490
UL https://hdl.handle.net/10433/19490
LA en
NO Haifa Bin Jebreen, Beatriz Hernández-Jiménez. An approach based on the pseudospectral method for fractional telegraph equations[J]. AIMS Mathematics, 2023, 8(12): 29221-29238. doi: 10.3934/math.20231496
NO Dpto. Economía, Métodos Cuantitativos e Hª Económica
DS RIO
RD May 8, 2026