Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

Keyphrases

• Fast Evaluation 100%
• Time-fractional PDE 100%
• Fractional Diffusion Equation 100%
• Caputo Fractional Derivative 100%
• Stability Analysis 50%
• Computational Work 50%
• Direct Method 50%
• Numerical Examples 50%
• Sum-of-exponentials Approximation 50%
• Error Analysis 50%
• Computational Storage 50%
• Fixed-accuracy 50%
• Absolute Error 50%

Mathematics

• Partial Differential Equation 100%
• Fractional Diffusion Equation 100%
• Time Step 50%
• Numerical Example 50%
• Grid Point 50%
• Total Number 50%
• Error Analysis 50%
• Exp 50%
• Direct Method 50%
• Absolute Error 50%