TITLE:
Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations
AUTHORS:
Xijian Wang
KEYWORDS:
Finite Difference Method, Convection-Diffusion Equation, Discretization Matrix, Iterative Method, Convergence Speed
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.5 No.2,
June
9,
2015
ABSTRACT: The paper first introduces two-dimensional convection-diffusion equation with boundary value condition, later uses the finite difference method to discretize the equation and analyzes positive definite, diagonally dominant and symmetric properties of the discretization matrix. Finally, the paper uses fixed point methods and Krylov subspace methods to solve the linear system and compare the convergence speed of these two methods.