Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

摘要

In this paper, a numerical method for solving convection diffusion equations is presented. The method is based upon the second kind Chebyshev wavelets approximation. The second kind Chebyshev wavelets operational matrix of integration is derived and utilized to transform the equation to a system of algebraic equations by combining collocation method. Numerical examples show that the proposed method has good efficiency and precision.