Collocation method

== Collocation polynomial of any dimension and degree ==

Collocation polynomial is used for interpolation and to transform differential and integral equations to a group of linear equation. Pol=$(\sum _{i=0}^{i=n}{\frac {x^{i}\,D^{i}}{i!}})\cdot {\vec {Y}}\,$ . D and ${\vec {Y}}$ are the matrix and vector formed by differenting Lagrange polynomial and putting the result in the matrix-vector product form. The formula gives n+1 polynomials where x is the deviation from each point. Continued later.