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: <math> \frac{u_{i+1}-2u_{i}+u_{i-1}}{h^2}-u_i = 0, \quad \forall i={1,2,3,...,n-1}.</math>
On first viewing, this system of equations appears to have difficulty associated with the fact that the equation involves no terms that are not multiplied by variables, but in fact this is false. At ''i'' = 1 and ''n'' − 1 there is a term involving the boundary values <math>u(0)=u_0 </math> and <math> u(1)=u_n </math> and since these two values are known, one can simply substitute them into this equation and as a result have a non-homogeneous [[
== See also ==
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