Finite difference schemes for MHD mixed convective Darcy–forchheimer flow of Non-Newtonian fluid over oscillatory sheet: A computational study

This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order scheme is deliberated. The stability of the proposed set scalar equation, whereas its convergence specified system parabolic equations. applied to equation systems comprises governing heat mass transfer magnetohydrodynamics (MHD) mixed convective Casson nanofluid flow across oscillatory sheet with Darcy–Forchheimer model, joule heating, viscous dissipation, chemical reaction. It noted that concentration profile escalated by mounting thermophoresis parameter. Also, converges faster than existing Crank-Nicolson scheme. findings were provided in this study have potential serve as helpful guide investigations into fluid closed-off industrial settings future.