Document
type: Class

Continuant
type: Class

Entity
type: Class

Physica Scripta
type: Generically Dependent Continuant
type: Thing
type: Continuant
type: Information Content Entity
type: Collection
type: Document
type: Entity
publication venue for: The essentials of the finite element method to solve differential equations: an illustrative case in physics
type: Periodical
type: Journal

Generically Dependent Continuant
type: Class

RDF description of The essentials of the finite element method to solve differential equations: an illustrative case in physics - http://orbis.uaslp.mx/vivo/individual/scopus11942
rights: termsOfUse
date: 2026-08-24T04:43:30
publisher: vivo
type: Document

Article
type: Class

Information Content Entity
type: Class

Consejo Nacional de Ciencia y Tecnología, Paraguay, CONACYT; CONAHCYT, (CF-2019-731759, FOP16-2021-01-320091); Laboratorio Nacional de Ingenería de la Materia Fuera de Equilibrio, (LANIMFE 314 881)
type: Relationship
type: BFO_0000020
type: Entity
type: Thing
type: Grant
type: Continuant
funding vehicle for: The essentials of the finite element method to solve differential equations: an illustrative case in physics

The essentials of the finite element method to solve differential equations: an illustrative case in physics
type: Information Content Entity
most specific type: Article
volume: 99
type: Generically Dependent Continuant
type: Document
type: Continuant
type: Entity
artnum: 46102
doi: 10.1088/1402-4896/ad340e
crisid: 11943
issue: 4
e iscopus: 2-s2.0-85188900612
has publication venue: Physica Scripta
most specific type: Document
estado: published
related by: authorship_76147
related by: authorship_74230
type: Thing
abstract: Here we review the basic steps of the modern and accurate finite element method in its application to solve ordinary differential equations in physics. To exemplify this well-in-vogue numerical technique, we have chosen the second order Poisson-Boltzmann equation, which is a classic equation of colloid science. Aiming to formulate a viable, but didactic, implementation of the finite element technique, we have combined a linear basis of functions, the Galerkin weighted residuals method, the Swartz-Wendroff approximation and the Picard iteration algorithm. In summary, the finite element method transforms a differential equation into a simpler system of algebraic equations for the coefficients of the approximate solution in terms of a set of basis functions. We describe the full computational realisation of the finite element procedure and, also, we examine the corresponding Poisson-Boltzmann numerical predictions for various representative conditions.
type: Article
date time value: article date 11943
has funding vehicle: Consejo Nacional de Ciencia y Tecnología, Paraguay, CONACYT; CONAHCYT, (CF-2019-731759, FOP16-2021-01-320091); Laboratorio Nacional de Ingenería de la Materia Fuera de Equilibrio, (LANIMFE 314 881)
freetext keyword: finite element method; ordinary differential equations in physics; Poisson-Boltzmann equation Algebra; Approximation algorithms; Boltzmann equation; Finite element method; Iterative methods; Poisson equation; Sols; Finite element techniques; Galerkins weighted residuals method; Iteration algorithms; ITS applications; Numerical techniques; Ordinary differential equation in physic; Picard iteration; Poisson-Boltzmann equations; Second orders; Simple system; Ordinary differential equations
related by: authorship_74229