I get the answer for my question but i ddnt understand where you have enter the function.If u can explain me the coding for this

a0=1
b0=1
T0=1
step_x=.01
step_t=.01
L_t=T0/step_t
L_x=T0/step_x
a=a0*ones(1,L_t+1)
b=b0*ones(1,L_x+1)
[X,T]=meshgrid([0:step_x:T0],[0:step_t:T0])
U=exp(diag(a)*T+diag(b)*X)
surf(U)  % visualize result
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SU=surface(U)    % create surface object
u_x_t=SU.ZData   % u(x,t) you asking for is contained in SU.ZData
% u(x)
u_xt1=u_x_t(:,1)  % to plot u(x) first fix t, for instance t=1
u_xt2=u_x_t(:,2)  % u(x) for t=2
figure(2);plot(u_xt2);grid on
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% u(t)
u_tx10=u_x_t(:,1)  % to plot u(t) first fix x, for instance x=10
u_tx21=u_x_t(:,2)  % u(t) for t=21

Answer 1

[Star Strider]

Here you go:

a = -1;                                                     % Create Data
b =  5;                                                     % Create Data
u = @(x,t) exp(a.*t+b.*x);                                  % Create Anonymous Function From Your Function
x = linspace(0, 1, 50);                                     % 50-Element Vector For ‘x’
t = linspace(0, 1, 50);                                     % 50-Element Vector For ‘t’
[X,T] = meshgrid(x,t);                                      % Create Grids For ‘x’ & ‘t’
Z = u(X,T);                                                 % Compute Result

figure(1)
surf(X, T, Z)
xlabel('x');
ylabel('t')
zlabel('u(x,t) = exp(a\cdott + b\cdotx)')
grid on

It is necessary to create an anonymous function from your function (see the section under Function Basics for Anonymous Functions, and using vectorised operations, see Array vs. Matrix Operations), then create grids for ‘t’ and ‘x’, and evaluate them as ‘Z’. Then plot them.