A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem
نویسندگان
چکیده
منابع مشابه
Fast explicit operator splitting method for convection-diffusion equations
Systems of convection–diffusion equations model a variety of physical phenomena which often occur in real life. Computing the solutions of these systems, especially in the convection dominated case, is an important and challenging problem that requires development of fast, reliable and accurate numerical methods. In this paper, we propose a second-order fast explicit operator splitting (FEOS) m...
متن کاملAlternating Group Explicit-Implicit Method And Crank-Nicolson Method For Convection-Diffusion Equation
Based on the concept of alternating group and domain decomposition, we present a class of alternating group explicit-implicit method and an alternating group Crank-Nicolson method for solving convection-diffusion equation. Both of the two methods are effective in convection dominant cases. The concept of the construction of the methods is also be applied to 2D convection-diffusion equations. Nu...
متن کاملA High-order Implicit Difference Method for the One-dimensional Convection Diffusion Equation
Based on the exponent transform to eliminate the “convection item” in the equation and the fourth-order compact difference formulas for the first and second derivatives, two chasses of new implicit difference schemes are proposed for solving the one-dimensional convection-diffusion equation. The methods are of order O ( τ2 + h4 ) and O ( τ4 + h4 ) respectively. The former is proved to be uncond...
متن کاملExplicit Implicit Non Overlapping Domain Decomposition Method with Splitting up method for Multi Dimensional Parabolic Problem
The explicit implicit domain decomposition methods are a non iterative types of methods for non overlapping domain decomposition. In comparison with the classical Schwarz algorithm for parabolic problem the former methods are computationally and communicationally more efficient for each time step but due to the use of the explicit step for the interface prediction the methods suffer from the ac...
متن کاملAn alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computa-tionally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Methods in Applied Mathematics
سال: 2020
ISSN: 1609-9389,1609-4840
DOI: 10.1515/cmam-2020-0009