Alternating Group Iterative Method for Diffusion Equations
نویسنده
چکیده
In this paper, a class of alternating group explicit iterative parallel method(AGI) is derived for solving diffusion equations based on a high order implicit scheme. Also the convergence analysis and the stability analysis are given. In order to verify the results, several numerical examples are presented in the end of the paper. Mathematics Subject Classification: 65M06, 74S20
منابع مشابه
Parallel 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 کاملApplication 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 کاملA Class of Alternating Group Iterative Method for Diffusion Equations
In this paper, a high order implicit scheme for solving diffusion equations is presented, based on which a class of alternating group explicit iterative method(AGI) is derived. Also the convergence analysis and the stability analysis are given. In the end, the results of numerical experiment are presented, which shows the AGI method is convergent and suitable for parallel computation. Mathemati...
متن کاملQuarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations
The aim of this article is to describe the formulation of the quarter-sweep iterative alternating decomposition explicit (QSIADE) method using the finite difference approach for solving one-dimensional diffusion equations. The concept of the QSIADE method is inspired via combination between the quarter-sweep iterative and the iterative alternating decomposition explicit (IADE) methods known as ...
متن کاملAGEI Method For Diffusion Equations
In this paper, we present a high order implicit scheme for one dimension heat conduction equations. The scheme is proved to be unconditionally stable. Based on the scheme a class of parallel alternating group explicit iterative method (AGEI) is constructed, and convergence analysis for the method is done. Numerical experiments show that the method is effective in computation.
متن کامل