Analysis and numerical approximation of the fractional-order two-dimensional diffusion-wave equation

Non-local fractional derivatives are generally more effective in mimicking real-world phenomena and offer precise representations of physical entities, such as the oscillation earthquakes behavior polymers. This study aims to solve 2D fractional-order diffusion-wave equation using Riemann–Liouville time-fractional derivative. The is solved modified implicit approach based on integral sense. theoretical analysis investigated for suggested scheme, stability, consistency, convergence, by Fourier series analysis. scheme shown be unconditionally stable, approximate solution consistent convergent exact result. A numerical example provided demonstrate that technique workable feasible.