Application Of Alternating Group Explicit Method For Parabolic Equations
نویسنده
چکیده
Qinghua Feng School of Science Shandong university of technology Zhangzhou Road 12#, Zibo , Shandong, 255049 China [email protected] Abstract: Based on the concept of decomposition, two alternating group explicit methods are constructed for 1D convection-diffusion equation with variable coefficient and 2D diffusion equations respectively. Both the two methods have the property of unconditional stablility and intrinsic parallelism . Numerical results show the two methods are of high accuracy. Key-Words: alternating group method; parallel computing; explicit scheme; parabolic equation; finite difference
منابع مشابه
Application Of The Alternating Group Explicit Method For Convection-Diffusion Equations
Based on an unconditionally stable finite difference implicit scheme, we present a concept of deriving a class of effective alternating group explicit iterative method for periodic boundary value problem of convectiondiffusion equations, and then give two iterative methods. The methods are verified to be convergent, and have the property of parallelism. Furthermore we construct an alternating g...
متن کاملHigh Order Alternating Group Explicit Finite Difference Method For Parabolic Equations
Based on the concept of domain decomposition we construct a class of alternating group explicit method for fourth order parabolic equations. Furthermore, an exponential type alternating group explicit method for 2D convection-diffusion equations is derived, which is effective in convection dominant cases. Both of the two methods have the property of unconditional stability and intrinsic paralle...
متن کاملAn Alternating Group Explicit Iterative Method for Solving Four-order Parabolic Equations
A class of alternating group explicit iterative method using the C-N scheme is derived for solving four order parabolic equations, and the analysis for convergency is given. In the end, the numerical result is given, which shows the iterative method is convergent, high precision, and is suitable for parallel computing. 1 Preface In Science and engineering computing, parabolic equations are impo...
متن کاملParallel Alternating Group Explicit Iterative Method For Convection-Diffusion Equations
In this paper, based on an unconditionally stable finite difference implicit scheme, we present a concept of deriving a class of effective alternating group explicit iterative method(AGEI) for periodic boundary value problem of convection-diffusion equations, and then give two AGEI methods. The AGEI methods are verified to be convergent, and have the property of parallelism. Results of numerica...
متن کاملExplicit schemes for parabolic and hyperbolic equations
Standard explicit schemes for parabolic equations are not very convenient for computing practice due to the fact that they have strong restrictions on a time step. More promising explicit schemes are associated with explicit-implicit splitting of the problem operator (Saul’yev asymmetric schemes, explicit alternating direction (ADE) schemes, group explicit method). These schemes belong to the c...
متن کامل