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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    4,381 Downloads   4,709 Views Citations

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.

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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.

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