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How does the 2nd order FD scheme for TF derivatives depends on the 
coefficients in the scheme ?
Testing the 'right' Riemann-Loiuville TF derivative on a function on [0,1]
Fix Gamma 1 (plot L2 error versus choices of Gamma 1) 
0.006954793662347 
0.000000625525319
Fix Gamma 2 (plot L2 error versus choices of Gamma 2) 
0.000000856497873
Fix Gamma 3 (plot L2 error versus choices of Gamma 3) 
0.000000856497873

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

  • 1. How does the 2nd order FD scheme for TF derivatives depends on the coefficients in the scheme ?
  • 2. Testing the 'right' Riemann-Loiuville TF derivative on a function on [0,1]
  • 3. Fix Gamma 1 (plot L2 error versus choices of Gamma 1) 0.006954793662347 0.000000625525319
  • 4. Fix Gamma 2 (plot L2 error versus choices of Gamma 2) 0.000000856497873
  • 5. Fix Gamma 3 (plot L2 error versus choices of Gamma 3) 0.000000856497873