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Mitchell, A.R. and Griffiths, D.F. (1980) The Finite Difference Method in Partial Differential Equations. John Wiley & Sons, Chichester.

has been cited by the following article:

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

  AUTHORS: Pedro Pablo Cárdenas Alzate

  KEYWORDS: Global Truncation, Forward Euler, Heat Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.13, December 22, 2014

  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.