Abstract
This report describes a new modified analytical method called the improved Adomian Decomposition Method (I-ADM) for solving the nonlinear equations of entropy generation in the presence of Joule heating and chemically reacting effects in MHD mixed nanofluid convection flow among two coaxial vertical cylinders. Our system's leading partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by the use of prevalent similarity transformation. These ODEs are then solved numerically via a shooting technique based on RK-4 Fehlberg and analytically with a new decomposition method (I-ADM) modification. The effects of various governing parameters on the velocity, energy, concentration of nanoparticles, and generation of entropy were evaluated and represented graphically. The resulting analytical data are compared with numerical data and those available in the literature. The numerical results show that I-ADM converges rapidly, as compared with the classical Adomian decomposition method.