[HTML][HTML] A spectral collocation method for solving the non-linear distributed-order fractional Bagley–Torvik differential equation

AZ Amin, MA Abdelkawy, E Solouma, I Al-Dayel - Fractal and Fractional, 2023 - mdpi.com
One of the issues in numerical solution analysis is the non-linear distributed-order fractional
Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We …

A space-time spectral approximation for solving two dimensional variable-order fractional convection-diffusion equations with nonsmooth solutions

AZ Amin, MA Abdelkawy, EM Soluma… - International Journal of …, 2024 - World Scientific
The study focuses on the numerical solutions of two-dimensional variable-order fractional
convection-diffusion equations, which combine the principles of diffusion and convection to …