Integration using Green's function in MatLab
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I have an integration
phi(r)= int_0^{inf} (r'^2 * dr' * G(r,r') * S(r'))
where G(r,r') = 1/(2*m*r*r')*(exp(-m*(r-r')) - exp(-m*(r+r'))) and S(r') is a known dataset at each r' and m is also known.
How to deal with this integration to find phi(r). Could you please help me on this?
采纳的回答
Hi @pritha
From what i have understood you want to integrate phi function from 0 to infinity , may be this code can help
also since I didn't know what your dataset function S is so i specified it to be rprime itself.
m = 1; % Some constant value
r = 0.5; % Value of r to evaluate
% Define the function handles for G and S
G = @(r, rprime) 1./(2.*m.*r.*rprime).* (exp(-m.*(abs(r-rprime))) - exp(-m.*(r+rprime)));
S = @(rprime) rprime;% Define your dataset function here
% Define the integrand function
integrand = @(rprime) (rprime.^2) .* G(r, rprime) .* S(rprime);
% Evaluate the integral using MATLAB's integral function
phi_r = integral(integrand, 0, Inf)
If you want to know more about integration with multiple variable or how integral function works here are some resources .
2 个评论
I think a function of r for phi is more adequate here:
m = 1; % Some constant value
% Define the function handles for G and S
G = @(r, rprime) 1./(2.*m.*r.*rprime).* (exp(-m.*(abs(r-rprime))) - exp(-m.*(r+rprime)));
S = @(rprime) rprime;% Define your dataset function here
% Define the integrand function
integrand = @(r, rprime) (rprime.^2) .* G(r, rprime) .* S(rprime);
% Evaluate the integral using MATLAB's integral function
phi_r = @(r) integral(@(rprime)integrand(r, rprime), 0, Inf);
phi_r(0.5)
pritha
2023-6-12
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