Numerical analytical solution of the Laplace equation using Python

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 pl...

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Detalles Bibliográficos
Autores: Mamani Arce, Yhony, Chacaliaza Ricaldi, José Yithak Aarón, Leandro Pelaez, Alexander Jonathan, Lanchipa Ramos, Wilson Orlando, Ramos Guivar , Juan Adrian
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/20730
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/20730
Access Level:acceso abierto
Palabra clave:Laplace Equation
Relaxtion Method
Computational Physics
Boundaries Condition Problems
Ecuación de Laplace
Método de Relajación
Fisica Computacional
Problemas de Contorno
Descripción
Sumario: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.