A New Fourth-Order Predictor–Corrector Numerical Scheme for Heat Transfer by Darcy–Forchheimer Flow of Micropolar Fluid with Homogeneous–Heterogeneous Reactions

This paper proposes a numerical scheme for solving linear and nonlinear differential equations obtained from the mathematical modeling of flow phenomenon. The is constructed on two grid points. It two-stage, or predictor–corrector type, whose first stage (the predictor stage) comprises forward Euler scheme. stability region proposed larger than that first-order A problem constructed, comprised model Darcy–Forchheimer micropolar fluid over stretching sheet, modified using partial (PDEs) by incorporating effects homogeneous–heterogeneous reactions. set PDEs further reduced into ordinary (ODEs) several transformations solved By comparing results with those existing scheme, it can be observed achieved smaller absolute error. show angular velocity profile displayed dual behavior according to increases in values microrotation coupling constant parameters. As part our research, we conducted comparison other schemes. findings this study serve as helpful guide future investigations closed-off industrial settings.