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A Special Case on the Stability and Accuracy for the 1D Heat Equation Using 3-Level and <i>θ</i>-Schemes
Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
Fundación Universitaria del Area Andina, Pereira, Colombia
- 1 Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
- 2 Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
- 3 Fundación Universitaria del Area Andina, Pereira, Colombia
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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].
KeywordsGlobal TruncationLocal AccuracyStability Restriction
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