2 papers
math.NA2026
Resolving the Gibbs Phenomenon in Fractional Fourier Series via Inverse Polynomial Reconstruction
Faiza Afzal, Xu Xiao
The fractional Fourier series generalizes the classical Fourier series by introducing a rotation angle in the time-frequency plane, but inherits the Gibbs phenomenon for piecew…
math-ph2023
Conservation law and Lie symmetry analysis of the (1+1) dimensional dispersive long-wave equation
Long Ju, Faiza Afzal, Yufeng Zhang
In this paper, we mainly study the integrability of 1+1 dimensional dispersive long-wave equation. Firstly, the Lie symmetry analysis of the equation is carried out in the first pa…