On the Behavior of Combination High-Order Compact Approximations with Preconditioned Methods in the Diffusion-Convection Equation

• 作者: Ahmad Golbabai Mahboubeh Molavi-Arabshahi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: COMPACT HIGH-ORDER Approximation Diffusion-Convection EQUATION Krylov Subspace METHODS PRECONDITIONER
• 年，卷（期）: 2011,（12）
• 页码范围: 1462-1468
• 页数: 7页
• 分类号: O1

摘要

In this paper, a family of high-order compact finite difference methods in combination preconditioned methods are used for solution of the Diffusion-Convection equation. We developed numerical methods by replacing the time and space derivatives by compact finite-difference approximations. The system of resulting nonlinear finite difference equations are solved by preconditioned Krylov subspace methods. Numerical results are given to verify the behavior of high-order compact approximations in combination preconditioned methods for stability, convergence. Also, the accuracy and efficiency of the proposed scheme are considered.