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].