What question did this study set out to answer?

This research aims to develop efficient numerical methods for solving both ordinary and fractional ordinary differential equations.

July 4, 2026AxiomsOpen Access

Efficient Numerical Methods for Fractional- and Integer-Order Ordinary Differential Equations

View Full Paper

Ask AI

Bookmark

This research aims to develop efficient numerical methods for solving both ordinary and fractional ordinary differential equations.
Utilized discretizations of first- and second-order derivatives.
Implemented L1 approximation of Caputo fractional derivative and shifted L1-based approximation.
Analyzed convergence and accuracy theoretically and confirmed through numerical experiments.
Proposed methods demonstrate improved accuracy over traditional L1 schemes.
The numerical schemes can achieve any prescribed order of accuracy in the interval (0,2].
Numerical experiments confirm theoretical improvements in solutions for ordinary fractional differential equations.

No takes yet. Share an insight, caveat, or question.

Numerical methods improve accuracy for solving ordinary and fractional differential equations, suggesting efficient computation techniques.

Milev et al. (2026) studied this question.

View Full Paper

Ask AI

Bookmark

Numerical methods improve accuracy for solving ordinary and fractional differential equations, suggesting efficient computation techniques.