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

Pedro Pablo Cárdenas Alzate

doi:10.4236/jamp.2014.213135

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JAMP> Vol.2 No.13, December 2014

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

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DOI: 10.4236/jamp.2014.213135 4,414 Downloads 4,758 Views Citations

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Pedro Pablo Cárdenas Alzate^*

Affiliation(s)

Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia.

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.

KEYWORDS

Global Truncation, Forward Euler, Heat Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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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