Solving the Cauchy problem for a three-dimensional difference equation in a parallelepiped

DOI10.1134/s0361768823020032zbMath1522.65248arXiv2201.13308OpenAlexW4366136633MaRDI QIDQ6043786

A. P. Lyapin, K. V. Shadrin, Marina Stepanovna Apanovich

Publication date: 24 May 2023

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.13308

Mathematics Subject Classification ID

Numerical methods for difference equations (65Q10)

Cites Work

• Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences
• Rational solutions of linear difference equations: universal denominators and denominator bounds
• Basic properties of discrete analytic functions
• Linear recurrences with constant coefficients: The multivariate case
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Solving the Cauchy problem for a two-dimensional difference equation at a point using computer algebra methods
• Algorithm for solving the Cauchy problem for a two-dimensional difference equation with initial data defined in a ``strip
• Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients
• Search of rational solutions to differential and difference systems by means of formal series
• Sections of the generating series of a solution to a difference equation in a simplicial cone
• Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients
• Generating functions for vector partition functions and a basic recurrence relation
• Potential theory on a rhombic lattice
• Correctness of a Two-dimensional Cauchy Problem for a Polynomial Difference Operator with Constant Coefficients
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