Other Test Cases Sample Clauses

Other Test Cases. After repeated trials the following chart was created to compare results 4.7. The elements of the chart recount all of the inputs and outputs discussed above. The “Case” column is added simply for referencing purposes. The x-Range refers to the range in x space, as entered in FEM1D. The S range converts the x-Range into S space according to x = ln(S/E). t-Range refers to the range in t space. Grid spacing refers to h, again an input in FEM1D. ∆t refers to the space between each t node. The “P” column refers to the method of solving. That is, whether the posed problem should be solved via piecewise linear, or with degree 2 or 3. The “Nodes” column recounts the size of V . As discussed, θ is the smoothing factor. The right side consists of the outputs. “Last Col Error” is the measurement of the absolute error in the final column, representing the range of time steps at the S boundary. The next column recounts which element in the matrix has the largest error. The column after states the value of that error. Finally, the last column is the error calculated through the subroutine. The “base” case in the chart above was the starting point for comparison. Each other case was an alteration on this initial set in order to analyze how different inputs affect the output. This would be the basis for analysis in considering the different components of time discretization, space discretization and boundary error. The alteration made to the base case is highlighted in red for convenience.
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Related to Other Test Cases

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