peparabexp.m

偏微分方程数值解法的程序包

function u = peParabExp(c,dt,n,minx,maxx,M)
format long;
h = (maxx-minx)/(n-1);
for j=1:(n+2*M)
    u0(j) = PrIniU(minx+(j-M-1)*h);
end 
u1 = u0;

for k=1:M
    for i=k+1:n+2*M-k
        u1(i) = dt*c*(u0(i+1)-2*u0(i)+u0(i-1))/h/h+u0(i);
    end
    u0 = u1;
end

u = u1((M+1):(M+n));
format short;