COMPARISON ON STABILITY AND CONVERGENCE OF FINITE DIFFERENCE METHOD IN TRANSFORMING NON DIMENSIONAL EXPLICIT AND IMPLICIT PARABOLIC PAR TIAL DIFFERENTIAL EQUATION

Abstract

In this thesis the convergence and stability criteria of the FDM in parabolic (heat) equation is examined with the Fourier and Neumann analysis and comparison is made for those methods, namely implicit, explicit and Crank Nicolson. Finally, the derived FDM from PDE is used and as a result its application turns to melting of ice which is a global problem.