摘要
On the basis of the integral-factor method, a modified integral-factor method was presented in this paper. The following boundary-value problem of steady convection-diffusion equation: y+f(x, y) y+g(x)y=s (x), a<x<b y(a)=a, y(b)=, <<1 has been successfully solved by above mentioned method. The numerical results (even for large grid Peclet number) were non-oscillating and have the second order accuracy. The six typical examples with different cases were tested. Numerical solutions illustrate that the modified integral-factor method is suitable for solving steady convection-diffusion equation with convection dominated flow. The advantage of method is that the solution is monotonic and only has a little numerical diffusion.
On the basis of the integral-factor method, a modified integral-factor method was presented in this paper. The following boundary-value problem of steady convection-diffusion equation: y+f(x, y) y+g(x)y=s (x), a<x<b y(a)=a, y(b)=, <<1 has been successfully solved by above mentioned method. The numerical results (even for large grid Peclet number) were non-oscillating and have the second order accuracy. The six typical examples with different cases were tested. Numerical solutions illustrate that the modified integral-factor method is suitable for solving steady convection-diffusion equation with convection dominated flow. The advantage of method is that the solution is monotonic and only has a little numerical diffusion.
