Question

Matlab Problem

Plot the analytical and random walk solutions for concentration with D 0.01 att 1, 2, 5, and 10 s (four separate plots). Use an x-axis range from -2 to 2 and a y-axis range from 0 to 15e4 on all plots. Include the simulation end time in the plot title

Answer 1

Save the code in MATLAB and get the results. The output graphs are also shown below-

1. For N=1

clc

clear

close all;

N = 1; % Dimensions

F = @(t,X) zeros(N,1); % Drift

G = @(t,X) eye(N); % diffusion

S = sde(F,G,'startState',zeros(N,1)); % Start at the origin

X = S.simByEuler(10000,'ntrials',1,'Z',@(t,X) RandDir(N));

comet(1:numel(X),X);

plot(1:numel(X),X);

grid on;

80 60 40 20 0 -20 40 60 -80 -100 -120 2000 4000 6000 8000 10000 12000

(A) For N=2

Change the values of N=1 to N=2 in the above code.

20 0 -20 -40 -60 -80 02 04 08 08 1214 1012 1.2 1.4 .6 1.8 4 x 10 (C)For N-5 Change the values of N-1 to N 5 in the above code.

40 20 0 -20 40 -60 -8아 -100 0.5 1 15 2 2.5 3 3.5 4 4.5 5 × 104 (C) For N-10 Change the values of N-1 to N-10 in the above code.