Author(s)

Xijian Wang

School of Mathematics and Computational Science, Wuyi University, Jiangmen, China.

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.

Finite Difference Method, Convection-Diffusion Equation, Discretization Matrix, Iterative Method, Convergence Speed

Wang, X. (2015) Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations. American Journal of Computational Mathematics, 5, 113-126. doi: 10.4236/ajcm.2015.52010.