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

Pedro Pablo Cárdenas Alzate¹, José Gerardo Cardona¹, Luz María Rojas²

¹Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia.
²Fundación Universitaria del Area Andina, Pereira, Colombia.

DOI: 10.4236/am.2015.63045                

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].

Keywords

Global Truncation, Local Accuracy, Stability Restriction

Conflicts of Interest

The authors declare no conflicts of interest.

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