How can I integrate by using bessel function

Question

JITEN RANJAN 2024-3-6

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https://ww2.mathworks.cn/matlabcentral/answers/2090966-how-can-i-integrate-by-using-bessel-function

评论： Dyuman Joshi 2024-3-15

L = integral (besselj(0,x)*x^2)k,1)

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Dyuman Joshi 2024-3-15

Any updates, @JITEN RANJAN?

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Answer 1

Manikanta Aditya 2024-3-6

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移动：Torsten 2024-3-6

在 MATLAB Online 中打开

Hey,

Check how you can integrate using bessel function:

% Define the lower limit of integration
k = 0; % Example value, replace 0 with your actual k value
% Define the anonymous function to be integrated
f = @(x) besselj(0, x) .* x.^2;
% Perform the numerical integration
L = integral(f, k, 1);
% Display the result
disp(L);
    0.2855

Thanks!

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Answer 2

Dyuman Joshi 2024-3-6

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在 MATLAB Online 中打开

You need to provide the integrand as a function handle, see here - https://in.mathworks.com/help/matlab/ref/integral.html#btbbkta-1-fun

You can also make the integration a function of k, and obtain the integral value for different inputs -

fun = @(x) besselj(0,x).*x.^2;
L = @(k) integral(fun, k, 1)
L = function_handle with value:
    @(k)integral(fun,k,1)
L(0)
ans = 0.2855
L(0.5)
ans = 0.2454

However, if you want to get the integral as an expression, you will need to use symbolic integration for that - int (Note - requires the Symbolic Math Toolbox).