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Cárdenas Alzate, P.P. (2014) A Survey of the Implementation of Numerical Schemes for Linear Advection Equation. Advances in Pure Mathematics, 4, 467-479.
http://dx.doi.org/10.4236/apm.2014.48052

has been cited by the following article:

• TITLE: A Special Case on the Stability and Accuracy for the 1D Heat Equation Using 3-Level and θ-Schemes

  AUTHORS: Pedro Pablo Cárdenas Alzate, José Gerardo Cardona, Luz María Rojas

  KEYWORDS: Global Truncation, Local Accuracy, Stability Restriction

  JOURNAL NAME: Applied Mathematics, Vol.6 No.3, March 10, 2015

  ABSTRACT: We establish the conditions for the compute of the stability restriction and local accuracy on the time step and we prove the consistency and local truncation error by using θ-scheme and 3-level scheme for Heat Equation with smooth initial conditions and for some parameter θ∈[0,1].