A Survey of the Implementation of Numerical Schemes for the Heat Equation Using Forward Euler in Time ()
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.
Share and Cite:
Alzate, P. (2014) A Survey of the Implementation of Numerical Schemes for the Heat Equation Using Forward Euler in Time.
Journal of Applied Mathematics and Physics,
2, 1153-1158. doi:
10.4236/jamp.2014.213135.
Conflicts of Interest
The authors declare no conflicts of interest.
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