2 papers
math.NA2020
Composite Quadrature Methods for Weakly Singular Convolution Integrals
Wesley Davis, Richard Noren
The well-known Caputo fractional derivative and the corresponding Caputo fractional integral occur naturally in many equations that model physical phenomena under inhomogeneous med…
math.NA2018
Improved Finite Difference Results for the Caputo Time-Fractional Diffusion Equation
Wesley Davis, Richard Noren, Ke Shi
We begin with a treatment of the Caputo time-fractional diffusion equation, by using the Laplace transform, to obtain a Volterra intego-differential equation where we may examine t…