Iterative refinement for a system of linear integro-differential equations of fractional type

作者：Deif Sarah A^*; Grace Said R

来源：Journal of Computational and Applied Mathematics, 2016, 294: 138-150.

DOI：10.1016/j.cam.2015.08.008

• Caputo derivative
• System of fractional integro-differential equations
• Fredholm and Volterra equations
• Iterative refinement
• Error bounds

A novel technique based on iterative refinement is developed to approximate the analytical solution of a system of linear fractional integro-differential equations. While the study focuses mainly on Fredholm-type equations, adaptation to the Volterra-type is also presented. A comparison is made with the method of successive approximations on the basis of convergence speed and accuracy. Several numerical examples are given to demonstrate the efficacy of our algorithm. The authors also present formulations of some error bounds.

• 出版日期2016-3-1