Taylor table method and Matlab code Introduction to CFD using Matlab and OpenFOAM

From the graph, it can be seen that the FDS and BDS methods give a higher error with decreasing dx as compared with the skewed methods.

In a skewed scheme, we take into account more than one data points for calculating the data at any particular point.This helps us to get more accurate values at the desired point and hence minimises the errors associated with it.

Sometimes when evaluating a point the left side function of the point might have a greater effect on the evaluated value or right side might have a greater effect on the evaluated value.Only in such cases where the function changes drastically about the point to be evaluated can a skewed scheme be useful.Hence it is first important to identify the nature of the given function and then decide what scheme needs to be employed for the most accurate results.

https://drive.google.com/open?id=0B8mcv5CsK1aVRmNKU1lGQ01LMEk