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m_goldberg
m_goldberg
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Integral equations with Mathematica Numerical solution to an integral equation

I know this question mayn't be new, but here is my problem: I have to solve this integral equation (numerically, of course, except from very few special cases):

$$\phi_{\nu}(t) = 1 - q\int_0^t \frac{d \psi_{\nu}}{d t'} \phi_{\nu}(t - t')\ dt'$$$$\phi_{\nu}(t) = 1 - q\int_0^t \frac{d\psi_{\nu}}{d t'} \phi_{\nu}(t - t')\ dt'$$

Where of course I know what $\psi$ is. I can choose $q = 1$.

I tried to take a look at some past answers, but I did not find what I was looking for. The problem may be the fact that this is also a convolution integral?.

Integral equations with Mathematica

I know this question mayn't be new, but here is my problem: I have to solve this integral equation (numerically, of course, except from very few special cases):

$$\phi_{\nu}(t) = 1 - q\int_0^t \frac{d \psi_{\nu}}{d t'} \phi_{\nu}(t - t')\ dt'$$

Where of course I know what $\psi$ is. I can choose $q = 1$.

I tried to take a look at some past answers but I did not find what I was looking for. The problem may be the fact that this is also a convolution integral?

Numerical solution to an integral equation

I know this question mayn't be new, but here is my problem: I have to solve this integral equation (numerically, of course, except from very few special cases):

$$\phi_{\nu}(t) = 1 - q\int_0^t \frac{d\psi_{\nu}}{d t'} \phi_{\nu}(t - t')\ dt'$$

Where of course I know what $\psi$ is. I can choose $q = 1$.

I tried to take a look at some past answers, but I did not find what I was looking for. The problem may be that this is a convolution integral.

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Enrico M.
Enrico M.
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Integral equations with Mathematica

I know this question mayn't be new, but here is my problem: I have to solve this integral equation (numerically, of course, except from very few special cases):

$$\phi_{\nu}(t) = 1 - q\int_0^t \frac{d \psi_{\nu}}{d t'} \phi_{\nu}(t - t')\ dt'$$

Where of course I know what $\psi$ is. I can choose $q = 1$.

I tried to take a look at some past answers but I did not find what I was looking for. The problem may be the fact that this is also a convolution integral?