Change solution from 1D to 2D

Question

Omar Alqubori 2021-2-23

0
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https://ww2.mathworks.cn/matlabcentral/answers/753674-change-solution-from-1d-to-2d

回答： SaiDileep Kola 2021-2-26

在 MATLAB Online 中打开

Hi,

Can anyone please help to change the solution from 1D to 2D.

Here is the part from my code

% % %applay analytic solution:
DDDD=0.23;
TT=1; %The exact solution changing by change the value of TT or DDDD
aaaa=0; %lower bound of space variable.
ll=10; %upper bound of space variable. %upper bound of time variable
NXxx = 30; %the number of subdivision of space interval.
NTtt=80; %the number of subdivision of time interval.
QQQQ=zeros(NTtt+1,NXxx+2); %matrix include Initial condition and Boundary conditions
%apply the initial condition
nnnn=0;
QQQQ(1,:) = nnnn;
%apply the Dirichlet boundary condition
QQQQ(:,1) = 0; %all value in rows in first coulmn=0
QQQQ(:,NXxx+2) = 0; %all value in rows in last coulmns =0
NNNNn=35;
U1=0.4;
TT=3000;
for ii=1:TT %The loop start for 2 because the satisfies the explict Euler method.
%the time loop first because one point in t we need three point from x
    for jj=1:100
        QQQQ(ii,jj)=(2*NNNNn/sqrt(pi))*sqrt(DDDD*ii*TT)+U1*ii;
    end
end
plot(QQQQ,'k--');