The Rayleigh–Stokes Problem for a Heated Generalized Second-Grade Fluid with Fractional Derivative: An Implicit Scheme via Riemann–Liouville Integral

The goal of this study is to use the fast algorithm solve Rayleigh–Stokes problem for heated generalized second-grade fluid (RSP-HGSGF) with Riemann–Liouville time fractional derivative using algorithm. modified implicit scheme, which formulated by integral formula and applied RSP-HGSGF, proposed. Numerical experiments will be carried out demonstrate that scheme simple implement, results reveal best way implement suggested technique. proposed scheme’s stability convergence examined Fourier series. method stable, approximation solution approaches exact solution. A numerical demonstration provided applicability viability strategy.