- Placeholder functions are used. You will need to define these based on the mathematical expressions provided in your image.
- The script assumes ln represents the natural logarithm (base e). In MATLAB, this is log.
- The u function is calculated for a range of x values and for each value of alpha in the array alphas.
- The arrayfun function is used to evaluate u for each element in the x array.

# Please help me to build the code of attached file.

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Please help me to build the code of attached file.

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### 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

figure;

hold on;

for alpha = alphas

y = arrayfun(@(x_val) u(x_val, t, alpha), x);

plot(x, y, 'DisplayName', sprintf('alpha = %f', alpha));

end

hold off;

legend;

xlabel('x');

ylabel('u(x, t)');

title('Plot of u(x, t) for different values of alpha');

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.

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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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