Operational Method for Finite Difference Equations

zbMATH Open1260.39001arXiv1111.0311MaRDI QIDQ4904935

Salvador Merino Córdoba

Publication date: 13 February 2013

Abstract: In this article I present a fast and direct method for solving several types of linear finite difference equations (FDE) with constant coefficients. The method is based on a polynomial form of the translation operator and its inverse, and can be used to find the particular solution of the FDE. This work raises the possibility of developing new ways to expand the scope of the operational methods.

Full work available at URL: https://arxiv.org/abs/1111.0311

zbMATH Keywords

direct methodoperational methodlinear finite difference equations

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference equations (39A06) Numerical methods for difference equations (65Q10)

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