supported by National Natural Science Foundation of China(11771257);the Shandong Provincial Natural Science Foundation of China(ZR2023YQ002,ZR2023MA007,ZR2021MA004)。
For singularly perturbed convection-diffusion problems,supercloseness analysis of the finite element method is still open on Bakhvalov-type meshes,especially in the case of 2D.The difficulties arise from the width of ...
We consider a second order,two-point,singularly perturbed boundary value problem,of reaction-convection-diffusion type with two small parameters,and we obtain analytic regularity results for its solution,under the ass...
Research sponsored by NSFC grants 11871428 and 12071214;Nature Science Research Program for Colleges and Universities of Jiangsu Province grant 20KJB110011;Research is supported in part by NSFC grants U1930402;the fellowship of China Postdoctoral Science Foundation(No.2020TQ0030).
In this paper,we first present the optimal error estimates of the semi-discrete ultra-weak discontinuous Galerkin method for solving one-dimensional linear convection-diffusion equations.Then,coupling with a kind of R...
partially supported by the National Natural Science Foundation of China(Nos.11871009,12271055,12171048);the foundation of CAEP(CX20210044);the Foundation of LCP.
Most existing cell-centered finite volume schemes need to introduce auxiliary unknowns in order to maintain the second-order accuracy when the mesh is distorted or the problem is discontinuous,so interpolation algorit...
A mathematical model comprising of nonlinear reaction, diffusion, and convection mechanisms seen in natural and anthropogenic processes is numerically investigated here. It is proposed that a higher order numerical sc...
This article studies the development of two numerical techniques for solving convection-diffusion type partial integro-differential equation(PIDE)with a weakly singular kernel.Cubic trigonometric B-spline(CTBS)functio...
supported by the NSFC-Shandong Joint Fund for Marine Science Research Centers(Grant No.U1406404);the Fundamental Research Funds for National Public Research Institutes of China(Grant No.2014T01);the National Program on Global Change and Air-Sea Interaction(Grant No. GASI-03-IPOVAI-05);supported by the AoShan Talents Program;the Qingdao National Laboratory for Marine Science and Technology(Grant No. 2015ASTP)
A three-dimensional model was established to investigate water exchange in coastal waters, and applied to Qinzhou Bay(QZB) in the South China Sea. Given the strong tidal current in QZB, a half-life time was calculated...
supported by the National Research Foundation of Korea(NRF)grant funded by the Korean government(MSIT)(2011-0030013 and 2018R1A2B2007117)
A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross...
In this paper we investigate anomalous diffusion coupled with linear convection, using fractional calculus to describe the anomalous associated memory effects in diffusive term. We get an explicit travelling wave solu...
The paper first introduces two-dimensional convection-diffusion equation with boundary value condition, later uses the finite difference method to discretize the equation and analyzes positive definite, diagonally dom...