A Compact Numerical Scheme for the Heat Transfer of Mixed Convection Flow in Quantum Calculus

This contribution aims to propose a compact numerical scheme solve partial differential equations (PDEs) with q-spatial derivative terms. The is based on the q-Taylor series approach, and an operator proposed, which useful discretize second-order spatial q-derivative constructed using proposed operator, gives fourth-order accuracy for For time discretization, Crank–Nicolson, Runge–Kutta methods are applied. stability scalar case convergence conditions system of provided. mathematical model heat transfer boundary layer flow under effects non-linear mixed convection given in form PDEs. governing transformed into dimensionless PDEs suitable transformations. velocity temperature profiles variations parameters Prandtl number drawn graphically. From considered experiments, it pointed out that space Crank–Nicolson more effective than discretization term performed by applying scheme. A comparison existing schemes carried as part research. future fluid-flow investigations enclosed industrial environment, results presented this study may serve guide.