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LOCAL ONE-DIMENSIONAL ASE-I SCHEME FOR 2D DIFFUSION EQUATION
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作者 LIU XIAO-YU and ZHANG BAO-LIN(Department of Applied Mathemattes, Tsinghua Unive rsiap Beijing, China Laboratory Of Commutational Physics, IAPCM P.O. Box 8009, Beliing, China) 《Wuhan University Journal of Natural Sciences》 CAS 1996年第Z1期515-521,共7页
A local alternating segment explicit - implicit method for the solution of 2D diffusion equations is presented in this paper .The method is unconditionally stable and has the obvious property of parallelism. Some nume... A local alternating segment explicit - implicit method for the solution of 2D diffusion equations is presented in this paper .The method is unconditionally stable and has the obvious property of parallelism. Some numerical experiments show the method is not only simple but also more accurate. 展开更多
关键词 ASE LOCAL ONE-DIMENSIONAL ASE-I SCHEME FOR 2d diffusion equation
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Holder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion
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作者 Tianwen Luo Tao Tao Liqun Zhang 《Science China Mathematics》 SCIE CSCD 2024年第8期1777-1806,共30页
We show the existence of Holder continuous periodic weak solutions of the 2D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic energy.More precisely,for any smooth e(t):[0,1]→R+andε∈(0... We show the existence of Holder continuous periodic weak solutions of the 2D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic energy.More precisely,for any smooth e(t):[0,1]→R+andε∈(0,110),there exist v∈C 110−ε([0,1]×T2)andθ∈C 1,120−εt 2 C 2,1 x 10−ε([0,1]×T2),which satisfy(1.1)in the sense of distribution and e(t)=ˆT2|v(t,x)|2 dx,∀t∈[0,1]. 展开更多
关键词 2d Boussinesq equation with thermal diffusion Holder continuous periodic weak solutions prescribed kinetic energy
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A Numerical Simulation of Air Flow in the Human Respiratory System Based on Lung Model
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作者 Md. Kamrul Hasan Mahtab U. Ahmmed Md. Samsul Arefin 《Journal of Applied Mathematics and Physics》 2023年第8期2205-2215,共11页
The lung is an important organ that takes part in the gas exchange process. In the study of gas transport and exchange in the human respiratory system, the complicated process of advection and diffusion (AD) in airway... The lung is an important organ that takes part in the gas exchange process. In the study of gas transport and exchange in the human respiratory system, the complicated process of advection and diffusion (AD) in airways of human lungs is considered. The basis of a lumped parameter model or a transport equation is modeled during the inspiration process, when oxygen enters into the human lung channel. The quantitative measurements of oxygen are detached and the model equation is solved numerically by explicit finite difference schemes. Numerical simulations were made for natural breathing conditions or normal breathing conditions. The respiratory flow results for the resting conditions are found strongly dependent on the AD effect with some contribution of the unsteadiness effect. The contour of the flow rate region is labeled and AD effects are compared with the variation of small intervals of time for a constant velocity when breathing is interrupted for a negligible moment. 展开更多
关键词 Lumped Model Lumped Model Channel Mass Flow Rate Ideal Law of Gas 2d Advection diffusion equation Finite Difference Scheme
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