Fourth-Order Numerical Solutions for a Fuzzy Time-Fractional Convection–Diffusion Equation under Caputo Generalized Hukuhara Derivative

The fuzzy fractional differential equation explains more complex real-world phenomena than the does. Therefore, numerous techniques have been timely derived to solve various time-dependent models. In this paper, we develop two compact finite difference schemes and employ resulting obtain a certain solution for time-fractional convection–diffusion equation. Then, by making use of Caputo derivative, provide new analysis relying on concept numbers. Further, approximate derivative using generalized Hukuhara under double-parametric form Furthermore, introduce computational techniques, based form, shift given problem from one domain another crisp domain. Moreover, discuss some stability error proposed Fourier method. Over above, derive several numerical experiments illustrate reliability feasibility our approach. It was found that fourth-order implicit scheme produces slightly better results FTCS scheme. methods were be feasible, appropriate, accurate, as demonstrated comparison analytical solutions at values.