A comparison of time discretization schemes for the green element solution of the transient heat conduction equation

摘要

We present three time discretization schemes for the Green element solution of the linear conduction equation. Numerical results obtained from the three methods are assessed by their convergence and stability-related properties, namely, numerical amplitude and amplification factor through Fourier analysis. The main emphasis is the ability of any of the schemes to handle conduction problems typified by those properties that are known to be taxing to most numerical schemes. This,vas found tt some eases to be related to how accurately the harmonies of the Fourier waves are propagated. [References: 18]