2013/07/02 by Eszter Gselmann, Gselmann, Eszter
Mathematics · Physics and Astronomy · #39A14 #39B52 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP #msc:39A14 #msc:39B52
paper · pdf · doi:10.48550/arxiv.1307.0693
7 pages
arxiv created 2013/07/02 · openalex publication_date 2013/07/02 · arxiv updated 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In one of his work, appeared in 1969, John A. Baker initiated the systematic investigation of some partial difference equations. The main purpose of this paper is to continue and to extend these investigations. Firstly, we present how such type of equations can be classified into elliptic, parabolic and hyperbolic subclasses, respectively. After that, we show solution methods in the elliptic class. Here we will deal in details with the discrete version of the following partial differential equations: Laplace's equation, Poisson equation and the (in)homogeneous biharmonic equation.