Numerical analytical solution of the Laplace equation using Python

Authors

  • Yhony Mamani Arce Universidad Nacional Mayor de San Marcos https://orcid.org/0000-0002-3661-6101
  • José Yithak Aarón Chacaliaza Ricaldi Universidad Nacional Mayor de San Marcos
  • Alexander Jonathan Leandro Pelaez Universidad Nacional Mayor de San Marcos
  • Wilson Orlando Lanchipa Ramos Universidad Nacional Mayor de San Marcos
  • Juan Adrian Ramos Guivar Universidad Nacional Mayor de San Marcos

DOI:

https://doi.org/10.15381/rif.v24i2.20730

Keywords:

Laplace Equation, Relaxtion Method, Computational Physics, Boundaries Condition Problems

Abstract

The solution of Laplace's equation within a Classical Electrodynamics course is fundamental for the understanding of boundary problems in Electrostatics. In the present research work the analytical and numerical solution is obtained by the relaxation method, of a problem of infinite parallel plates, of the Laplace equation in Cartesian coordinates in an Euclidean space of two dimensions, specifically using the Python programming language, for its use in the teaching of Physics and its better phenomenological understanding. Likewise, the solutions obtained by both solution techniques are compared and discussed.

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Published

2021-07-27

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Article

How to Cite

Numerical analytical solution of the Laplace equation using Python. (2021). Revista De Investigación De Física, 24(2), 40-48. https://doi.org/10.15381/rif.v24i2.20730