Published May 17, 2025 | Version v1
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An Integration–Annihilator method for analytical solutions of Partial Differential Equations

  • 1. ROR icon Potsdam Institute for Climate Impact Research

Description

This is supplementary material for the paper with the same title published as arXiv:2505.11929.

The worksheet implements the Integration–Annihilator method and applies it to the Poisson equation, the Polyharmonic equation and the Helmholtz equation, each with unweighted and weighted Laplacians. Also, we calculate a Helmholtz decomposition for various n-dimensional vector fields.

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Additional details

Related works

Is supplement to
Working paper: arXiv:2505.11929 (arXiv)

Software

Programming language
Mathematica
Development Status
Active