bessl1q.m

主要阐述的是使用差分法解一类Bessel方程在不同边界条件下的离散解

clear;
Q=[-10,-5,0,5,10],a=2,u=1;
b=1-a;
w=sqrt(u);
for i=1:5
    A=0;
    B=Q(i)/(a*besselk(0,w)-b*w*besselk(1,w));
    x=-2:0.05:2;
    y=A*besseli(0,w*x)+B*besselk(0,w*x);
   switch i
        case 1,
            plot(x,y,'k');
        case 2,
            plot(x,y,' . k');
        case 3,
            plot(x,y,' * k');
        case 4,
            plot(x,y,' > k');
        case 5,
            plot(x,y,' + k');
        end;
        hold on;
    end;
    hold off;
    axis([-2 2 -40 40]);
    legend('Q= -10','Q= -5','Q= 0','Q= 5','Q= 10',0)
title('第一种边界条件下不同Q值的图象','FontSize',12,'FontName','隶书');