Paper Info
Title
Soution of Convection-Diffusion Equations.
Abstract
Partial differential equations are an important part of mathematics in science and its numerical solution occupies an important position in the numerical analysis. Partial differential equations are closely related to human life and it has important research value. At present, people have studied its solutions in depths and achieved a lot of valuable results. The current solution is the finite element method and finite different method. The convection-diffusion equation is more closely related to human activities, especially complex physical processes. The behavior of many parameters in flow phenomena follows the convection-diffusion equation, such as momentum and heat. The convection-diffusion equation is also used to describe the diffusion process in environmental science, such as the pollutant transport in the atmosphere, oceans, lakes, rivers or groundwater. The research of the convection-diffusion equation is of great importance. Partial differential equation theory has important applications in the solution of the convection-diffusion equation. This chapter mainly talks about the application of the finite difference method in the solution of the convection-diffusion equation.
Year
DOI
Venue
2013
10.1007/978-3-642-53703-5_56
Communications in Computer and Information Science
Keywords
Field
DocType
Partial Differential Equations,Differential Format,Convection-Diffusion Equation,Finite Element Method
Convection–diffusion equation,Differential equation,Mathematical analysis,FTCS scheme,Burgers' equation,Stochastic partial differential equation,Partial differential equation,Independent equation,Mathematics,Hyperbolic partial differential equation
Conference
Volume
ISSN
Citations 
392
1865-0929
0
PageRank 
References 
Authors
0.34
15
3
Name
Order
Citations
PageRank
Yamian Peng184.22
Chunfeng Liu200.34
Linan Shi300.68