A COMPARATIVE STUDY OF NEW HOMOTOPY PERTURBATION METHOD AND FINITE DIFFERENCE METHOD FOR SOLVING UNSTEADY HEAT CONDUCTION EQUATION

Calendering is a mechanical finishing technology used in the leather, textile, and paper industry, with the mechanism of reshaping and deforming fibers of the web to be calendered with the help of pressure and heat transfer. In this paper, a comparative study has been done to examine the flow of heat inside the calender nip using an unsteady heat conduction equation with specific initial and boundary conditions. The outcomes achieved by utilizing the new homotopy perturbation method and finite difference method have been compared with the exact solution. The achieved outcomes reveal the accuracy, effectiveness, and reliability of techniques applied. It is observed that the outcomes achieved by the new homotopy perturbation method are more accurate than those obtained by the finite difference method.