TITLE:
A Survey of the Implementation of Numerical Schemes for the Heat Equation Using Forward Euler in Time
AUTHORS:
Pedro Pablo Cárdenas Alzate
KEYWORDS:
Global Truncation, Forward Euler, Heat Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.13,
December
22,
2014
ABSTRACT: We establish the conditions for the compute of the Global Truncation
Error (GTE), stability restriction on the time step and we prove the
consistency using forward Euler in time and a fourth order discretization in
space for Heat Equation with smooth initial conditions and Dirichlet boundary
conditions.