how does the error depend on the parameters in the second order fd scheme for tf derivatives?

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How does the 2nd order FD scheme for TF derivatives depends on the coefficients in the scheme ?

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Post on 26-Jul-2015

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Page 1: how does the error depend on the parameters in the second order FD scheme for TF derivatives?

How does the 2nd order FD scheme for TF derivatives depends on the coefficients in the scheme ?

Page 2: how does the error depend on the parameters in the second order FD scheme for TF derivatives?

Testing the 'right' Riemann-Loiuville TF derivative on a function on [0,1]

Page 3: how does the error depend on the parameters in the second order FD scheme for TF derivatives?

Fix Gamma 1 (plot L2 error versus choices of Gamma 1)

0.000000625525319

0.006954793662347

Page 4: how does the error depend on the parameters in the second order FD scheme for TF derivatives?

Fix Gamma 2 (plot L2 error versus choices of Gamma 2)

0.000000856497873

Page 5: how does the error depend on the parameters in the second order FD scheme for TF derivatives?

Fix Gamma 3 (plot L2 error versus choices of Gamma 3)

0.000000856497873