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Please help me to build the code of attached file.

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Please help me to build the code of attached file.

Answers (1)

Hassaan on 29 Dec 2023
Given the complexity of these functions, setting up the entire system in MATLAB is quite involved. However, I can demonstrate the basic approach with placeholder functions. You will need to replace these with the actual implementations of your functions.
% Define the functions B1, B2, Delta, Delta1, Delta2, Dk, and W
B1 = @(x, s, a) sin((a*x + b)/(a*x + b)) / ((a*x + b)/a + sqrt(1 + s*a));
% ... Define B2, Delta, Delta1, Delta2, Dk, W in a similar manner
% Constants given in your problem
f1 = 0.5;
f2 = 3;
c = 0.1;
d = 2;
% Calculate Delta for the given constants
Delta = @(s, a) B1(c, s, a) * B2(d, s, a); % Replace with the actual function
% Define u(x, t)
u = @(x, t, a) ln(2)/t * W; % W needs to be calculated using the given sum
% Example: Plot u(x, t) for a fixed t and range of x for different values of alpha
t = 0.5;
x = linspace(0, 10, 100); % Define a range of x values
alphas = [0.1, 0.5, 1.0]; % Example values of alpha
% Plot u(x, t) for each alpha
hold on;
for alpha = alphas
y = arrayfun(@(x_val) u(x_val, t, alpha), x);
plot(x, y, 'DisplayName', sprintf('alpha = %f', alpha));
hold off;
ylabel('u(x, t)');
title('Plot of u(x, t) for different values of alpha');
  1. Placeholder functions are used. You will need to define these based on the mathematical expressions provided in your image.
  2. The script assumes ln represents the natural logarithm (base e). In MATLAB, this is log.
  3. The u function is calculated for a range of x values and for each value of alpha in the array alphas.
  4. The arrayfun function is used to evaluate u for each element in the x array.
Replace the placeholder functions with the actual implementations of your mathematical expressions and adjust the range of x and the array alphas as needed for your specific requirements.
If you find the solution helpful and it resolves your issue, it would be greatly appreciated if you could accept the answer. Also, leaving an upvote and a comment are also wonderful ways to provide feedback.

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