Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations

ثبت نشده
چکیده

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 one of the technique in two-step iterative methods. The QSIADE method has been shown to be very fast as compared with the standard IADE method. Some numerical tests were included to support our statement. Keyword: Diffusion equation; Full-, halfand quarter-sweeps iterative alternating decomposition explicit methods; Performance evaluation

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quarter-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 کامل

Half-Sweep Two Parameter Alternating Group Explicit Iterative Method Applied to Fuzzy Poisson Equation

Iterative methods particularly the Two Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the Full-Sweep TAGE (FSTAGE) and Half-Sweep TAGE (HSTAGE) methods are also presented. Then numerical experiments are carried out onto two...

متن کامل

Alternating 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 کامل

Parallel Alternating Group Explicit Iterative Method For Hyperbolic Equations

In this paper, we present a four order unconditionally stable implicit scheme for hyperbolic equations. Based on the scheme and the concept of decomposition a class of parallel alternating group explicit (AGE) iterative method is derived, and convergence analysis is given. In order to verify the AGE iterative method, we give an example at the end of the paper.

متن کامل

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 کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015