Abstract—In the current work, a continuously moving inclined plate with the Soret-Dufour
effect is subjected to an unstable two-dimensional MHD (Magnetohydro Dynamics) flow of a
dusty viscoelastic (Walter’s liquid model-B) incompressible viscous and electrically conducting
fluid. The coupled equations involving a nonlinear problem are investigated using the CrankNicolson finite difference method, and a numerical solution for the velocity, temperature, and
concentration distributions is achieved.
The graphical findings are shown to interpret the impact of the problem’s many significant parameters. The skin-friction, heat, and mass transfer coefficients at the plate walls are tabulated
as well as their effects.