Sheida Mohammadizadeh - Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj ۳۱۴۹۹-۶۸۱۱۱
Jalil Rashidinia - Iran University of Science and Technology
Reza Ezzati - ۳Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj

Fractional integro-differential equations (FIDEs) constitute an important mathematical tool in modeling many dynamical processes‎. ‎To solve FIDEs‎, ‎several analytical and numerical methods have been proposed‎, ‎namely those based on symmetry and spline approaches‎. ‎This paper proposes quartic and sextic C^{۳}-spline methods for the numerical solution of FIDEs‎. ‎The convergence analysis of the proposed strategy is examined in detail‎. ‎Finally‎, ‎three numerical examples are given to illustrate the numerical accuracy and efficiency of the proposed strategy‎.

Fractional integro-differential equation, Quartic and sextic C^{۳}-splines, Convergence analysis