D. J. Evans and W. S. Yousif, “The Block Alternating Group Explicit Method (BLAGE) for the Solution of Elliptic Difference Equations,” International Journal of Computer Mathematics, Vol. 22, No. 2, 1987, pp. 177- 185. doi:10.1080/00207168708803590

has been cited by the following article:

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

  AUTHORS: Ahmad Golbabai, Mahboubeh Molavi-Arabshahi

  KEYWORDS: Compact High-Order Approximation, Diffusion-Convection Equation, Krylov Subspace Methods, Preconditioner

  JOURNAL NAME: Applied Mathematics, Vol.2 No.12, December 27, 2011

  ABSTRACT: 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.