On the construction of iterated collocation-type approximations for linear fractional differential equations
DOI:
https://doi.org/10.12697/ACUTM.2024.28.20Keywords:
Caputo fractional derivative, collocation method, fractional differential equations, iterated method, graded gridAbstract
The present paper is concerned with the numerical solution of initial value problems for linear Caputo-type fractional differential equations. Some regularity results are presented and, using a reformulated integral equation approach, a high-order collocation method and its iterated version are constructed. Global superconvergence results of the iterated version are studied. Numerical examples confirming the theoretical results are also given.
