• Comparison of numerical methods for fractional differential equations

      Ford, Neville J.; Connolly, Joseph A. (American Institute of Mathematical Sciences/Shanghai Jiao Tong University, 2006-06)
      This article discusses and evaluates the merits of five numerical methods for the solution of single term fractional differential equations.
    • Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations

      Ford, Neville J.; Connolly, Joseph A.; University of Chester (University of Chester, 2007)
      We give a comparison of the efficiency of three alternative decomposition schemes for the approximate solution of multi-term fractional differential equations using the Caputo form of the fractional derivative. The schemes we compare are based on conversion of the original problem into a system of equations. We review alternative approaches and consider how the most appropriate numerical scheme may be chosen to solve a particular equation.