期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (4)
In recent years, fractional differential equations have been extensively applied to model various complex dynamic systems. The studies on highly accur......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (4)
In this paper we propose a Deep Learning Galerkin Method (DGM) based on the deep neural network learning algorithm to approximate the general second-o......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (5)
The design of numerical approaches for the molecular beam epitaxy models has always been a hot issue in numerical analysis, in which one of the main c......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (5)
In this paper, the Navier-Stokes-Darcy equations with the free interface are considered, which model the movement of the sea and the sand in the seafl......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (5)
This paper presents numerical methods for solving linear elasticity on simplicial meshes based on enrichment of Lagrangian bilinear/trilinear finite e......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (1)
In this paper, a finite difference scheme is established for solving the fourth-order time multi-term fractional sub-diffusion equations with the firs......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (1)
In this paper, we post-process an eight-nodes-serendipity finite element solution for elliptic equations. In the post-processing procedure, we first c......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (2)
This paper discusses the well-posedness and the multiscale algorithm for the heterogeneous scattering of Maxwell's equations in dispersive media with ......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (2)
Poisson-Boltzmann equation (PBE) is a classic implicit continuum model to predict the electrostatic potentials of a solvated biomolecule. In this pape......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (2)
In this paper, we investigate the shallow water flows over erodible beds by using a fully coupled mathematical model in two-dimensional space. This mo......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (3)
In this paper, we develop a first order (in time) numerical scheme for the binary fluid surfactant phase field model. The free energy contains a doubl......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (3)
Random rough texture design can be used to find the optimal design of random surfaces in thin film solar cells to increase their absorbing efficiency.......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (3)
The main purpose of this paper is to analyze the stability of the implicit-explicit (IMEX) time-marching methods coupled with high order finite differ......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (3)
In the natural element method (NEM), the Laplace interpolation error estimate on convex planar polygons is proved in this study. The proof is based on......
期刊： INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021; 18 (3)
This paper proposes a stabilizer free weak Galerkin (SFWG) finite element method for the convection-diffusion-reaction equation in the diffusion-domin......
