A Fourth Order Numerical Scheme for Unsteady Mixed Convection Boundary Layer Flow: A Comparative Computational Study

In this paper, a three-stage fourth-order numerical scheme is proposed. The first and second stages of the proposed are explicit, whereas third stage implicit. A compact considered to discretize space-involved terms. stability in space time checked using von Neumann criterion for scalar case. region obtained by more than one given explicit Runge–Kutta methods. convergence conditions found system partial differential equations, which non-dimensional equations heat transfer Stokes problems. comparison made with existing Crank–Nicolson scheme. From comparison, it can be concluded that converges faster It also produces less relative error method time-dependent