Modified Variational Iteration Algorithm‐II: Convergence and Applications to Diffusion Models
Variational iteration method has been extensively employed to deal with linear and
nonlinear differential equations of integer and fractional order. The key property of the …
nonlinear differential equations of integer and fractional order. The key property of the …
[HTML][HTML] New approach on conventional solutions to nonlinear partial differential equations describing physical phenomena
In current study, the modified variational iteration algorithm-I is investigated in the form of the
analytical and numerical treatment of different types of nonlinear partial differential …
analytical and numerical treatment of different types of nonlinear partial differential …
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
High-order entropy-stable discontinuous Galerkin methods for the compressible Euler and
Navier-Stokes equations require the positivity of thermodynamic quantities in order to …
Navier-Stokes equations require the positivity of thermodynamic quantities in order to …
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn–Hilliard–Navier–Stokes system
For time-dependent PDEs, the numerical schemes can be rendered bound-preserving
without losing conservation and accuracy by a postprocessing procedure of solving a …
without losing conservation and accuracy by a postprocessing procedure of solving a …
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier–Stokes equations
In this paper, we are interested in constructing a scheme solving compressible Navier–
Stokes equations, with desired properties including high order spatial accuracy …
Stokes equations, with desired properties including high order spatial accuracy …
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations
In this work we introduce semi-implicit or implicit finite difference schemes for the continuity
equation with a gradient flow structure. Examples of such equations include the linear …
equation with a gradient flow structure. Examples of such equations include the linear …
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation
We consider solving a generalized Allen-Cahn equation coupled with a passive convection
for a given incompressible velocity field. The numerical scheme consists of the first order …
for a given incompressible velocity field. The numerical scheme consists of the first order …
Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements …
W Feng, H Guo, Y Kang, Y Yang - Journal of Computational Physics, 2022 - Elsevier
In this paper, we construct bound-preserving interior penalty discontinuous Galerkin (IPDG)
methods with a second-order implicit pressure explicit concentration (SIPEC) time marching …
methods with a second-order implicit pressure explicit concentration (SIPEC) time marching …
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations
We show that the classical fourth order accurate compact finite difference scheme with high
order strong stability preserving time discretizations for convection diffusion problems …
order strong stability preserving time discretizations for convection diffusion problems …
Quantitative study on the early warning indexes of conventional sudden water pollution in a plain river network
D Li, Y Wei, Z Dong, C Wang, C Wang - Journal of Cleaner Production, 2021 - Elsevier
An early warning model for simulating conventional sudden water pollution in a plain river
network based on a mainstream algorithm is first developed, and a calculation method for …
network based on a mainstream algorithm is first developed, and a calculation method for …