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- How to set up the Finite Element Method of a 1D Wave Equation.

I am trying to understand how to apply the finite element method for a simple 1D wave equation with four elements for learning purposes.

$$\frac{d^2 T(x)}{dx^2} = -f(x)$$

I am stuck because the structure of the equations set up in Numerical Methods for Engineers by Chapra and Canale as shown here seems to assume one knows what the function ##f(x)## is. What if ##f(x)## is ##T(x)## as in the wave equation? Is that case doable? Thanks.

$$\frac{d^2 T(x)}{dx^2} = -f(x)$$

I am stuck because the structure of the equations set up in Numerical Methods for Engineers by Chapra and Canale as shown here seems to assume one knows what the function ##f(x)## is. What if ##f(x)## is ##T(x)## as in the wave equation? Is that case doable? Thanks.