JAMP  Vol.2 No.13 , December 2014
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.
Cite this paper: 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.

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