非线性对流扩散问题的1种新数值方法

A New Numerical Method for Nonlinear Convection-Diffusion Problems

建立了非线性对流扩散问题的1种新数值方法——再生核函数法,利用再生核函数,直接给出了每个离散时间层上近似解的显式表达式,验证了算法的稳定性及收敛性,并给出了一些数值结果。

In this paper,a new numerical method-the Reproducing Kernal Function Method for solving nonlinear convection-diffusion problems is devised.By using the reproducing kernal function,the approximate solution at each discrete time level is given with explicit formula.The stability and convergence of the new method are proved.Some numerical results are presented.