Open AccessNumerical Analysis and Comparison of Gridless Partial Differential Equations
Author(s) -
Zhao Zhang
Publication year - 2021
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.156
H-Index - 13
ISSN - 1998-4464
DOI - 10.46300/9106.2021.15.133
Subject(s) - partial differential equation , numerical partial differential equations , exponential integrator , numerical analysis , mathematics , regularized meshless method , first order partial differential equation , partial derivative , numerical stability , differential equation , computer science , mathematical analysis , finite element method , ordinary differential equation , differential algebraic equation , singular boundary method , physics , boundary element method , thermodynamics
In the field of science and engineering, partial differential equations play an important role in the process of transforming physical phenomena into mathematical models. Therefore, it is very important to get a numerical solution with high accuracy. In solving linear partial differential equations, meshless solution is a very important method. Based on this, we propose the numerical solution analysis and comparison of meshless partial differential equations (PDEs). It is found that the interaction between the numerical solutions of gridless PDEs is better, and the absolute error and relative error are lower, which proves the superiority of the numerical solutions of gridless PDEs