Open AccessDiscontinuous Galerkin Spectral Element Method for Solving Population Balance Differential Equations
Publication year - 2020
Publication title -
international journal of mathematical models and methods in applied sciences
Language(s) - English
Resource type - Journals
ISSN - 1998-0140
DOI - 10.46300/9101.2020.14.3
Subject(s) - spectral element method , legendre polynomials , mathematics , discontinuous galerkin method , spectral method , galerkin method , mathematical analysis , gauss , quadrature (astronomy) , differential equation , numerical integration , gaussian quadrature , finite element method , nyström method , mixed finite element method , integral equation , physics , quantum mechanics , optics , thermodynamics
In this paper, we study the discontinuous Galerkin spectral element method for solving the population balance differential equation. We use the Legendre polynomials of order k as test functions on each element. Calculate the matrices used by Gauss Quadrature integration and then compare the numerical results with the other methods.