A novel computational analysis of fractional differential equation based on elliptic discrete equation

Abstract

This paper proposes a novel computational analysis to solve fractional differential equations based on elliptic discrete equations. The traditional solution method of the fractional differential equation was complex, and the solution efficiency and accuracy were low. In the process of solving, the definition, properties, and integral transformation of fractional calculus were analyzed, and then solving the fractional differential equation on the basis of the elliptic discrete equation. From the evaluation of the results, it can be concluded that the proposed method has high solution accuracy.