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

DOI: 10.4236/am.2015.63045   PDF   HTML   XML   3,943 Downloads   4,488 Views   Citations

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].

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Alzate, P. , Cardona, J. and Rojas, L. (2015) A Special Case on the Stability and Accuracy for the 1D Heat Equation Using 3-Level and θ-Schemes. Applied Mathematics, 6, 476-483. doi: 10.4236/am.2015.63045.

Conflicts of Interest

The authors declare no conflicts of interest.

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