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Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations

Numerical Analysis 2023-05-29 v1 Numerical Analysis

Abstract

This article examines a new approach to solving ordinary differential equations based on Fractional-Calculus theory. Poisson and Sturm-Liouville-type problems are studied, together with different boundary conditions. Each case is analyzed and compared concerning the Finite-Difference method outcome.

Keywords

Cite

@article{arxiv.2305.17009,
  title  = {Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations},
  author = {Sergio F. Yapur},
  journal= {arXiv preprint arXiv:2305.17009},
  year   = {2023}
}