The Jacobi last multiplier for difference equations

TL;DR

This paper introduces a discretized version of the Jacobi last multiplier and demonstrates its applications in solving difference equations, providing a new tool for discrete mathematical analysis.

Contribution

The paper develops a discretized form of the Jacobi last multiplier and applies it to compute solutions of difference equations, filling a gap in discrete analysis methods.

Findings

Discretized Jacobi last multiplier effectively computes solutions of difference equations.

The method offers a new approach to discrete integrability analysis.

Applications demonstrate improved solution techniques for difference equations.

Abstract

We present a discretization of the Jacobi last multiplier, with some applications to the computation of solutions of difference equations.