Sinc-Chebyshev配置方法求解一维对流扩散方程

The Sinc-Chebyshev Collocation Method for One-dimensional Convection-diffusion Equations

利用复合移位Sinc函数和移位Chebyshev多项式,构造了求解变系数的一维对流扩散方程初边值问题的Sinc-Chebyshev配置方法。

In this paper, the Sinc-Chebyshev collocation method is constructed to deal with the numerical solution for the initial-boundary value problem of one-dimensional convection-diffusion equations with variable coefficients. The method expands the required approximate solution as the elements of Sinc functions in space and shifted Chebyshev polynomials in time with unknown coefficients.