A Survey of the Implementation of Numerical Schemes for the Heat Equation Using Forward Euler in Time

DOI: 10.4236/jamp.2014.213135   PDF   HTML   XML   4,540 Downloads   4,961 Views   Citations


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.

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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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